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A horizontal beam safely supports a load P that varies jointly as the product of the width W of the beam and the square of the depth D and inversely as the length L. A beam that has a width of 8 in, depth of 12 in. and a length of 36 in. can safely support 1,792 lb. Determine the safe load in pounds of a beam made from the same material if the beam is 105 in. long.

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