7400 lb tailer should do just fine with the truck you mention. The IMPORTANT numbers for you are the GVWR or your truck as it relates to the ACTUAL weight when ready to tow. If the Actual weight is under the GVWR that's a good thing. If it's a 5th wheel you'll probably also need to take into account the GAWR (axle ratings) and be sure your axles are under their rated weight when towing your trailer but most likely you WILL be under with a trailer that light.
Maximum trailer weight is a warranty issue, NOT a safety number so unless you have a warranty to be concerned about it's probably NOT an issue.
Good luck / Skip
