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I wouldn't worry to much about whether it could tow it or not but whether it could stop it or not. If you already have disc brakes up front and good trailer brakes you should be good to go.
Around here the general rule of thumb is 3/4's the weight of the tow vehicle for an unbraked trailer and 1 1/2 x's the weight of the tow vehicle for a braked trailer.
And unlike Jowilker I think you should be aware of your vehicle's gcvw. Exceed it and your vehicle is potentially dangerous, you assume liability in case of an accident and you may void your insurance.
I was worried about the legality of the load as well. We travel across several states on trips. I found a 1974 Ford Manual that said the F250 had a max tow capacity of 7000lbs and a GCVW of 13100lbs. I called Ford and their research department is supposed to call me back in a day or so with the ratings for the time.
So Ford called me back. My truck F250 with a 390 is rated from the factory to haul 5000lbs on the bumper, no trailer brakes, no tranny cooler. The factory info the guy had says "more when properly equipped". He couldn't find any documentation on what "more" was. He quoted me the same 1974 info printed in the owners manual I listed above. The 1974 manual say 7000lbs with a class IV hitch and a GVWR of 13100lbs.
We've settled on a camper that weighs 5750lbs, we figure with all our stuff loaded we want be over 6500lbs.
I have a tranny cooler, trailer brakes and Class IV weight distrubting hitch.