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Finding the Fourth Proportional to 7,382.49, 11,062.80 and 6,075.53

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Solution

The fourth proportional to 7,382.49, 11,062.80 and 6,075.53 is: 9,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.49 : 11,062.80 = 6,075.53 : x
  2. Step 2: Convert to fraction form
    7,382.49/11,062.80 = 6,075.53/x
  3. Step 3: Cross multiply
    7,382.49x = 11,062.80 × 6,075.53
  4. Step 4: Simplify right side
    7,382.49x = 67,212,317.97
  5. Step 5: Solve for x
    x = 67,212,317.97/7,382.49
  6. Step 6: Final answer
    x = 9,104.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.