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Finding the Fourth Proportional to 10,538.66, 14,535.15 and 7,471.10

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Solution

The fourth proportional to 10,538.66, 14,535.15 and 7,471.10 is: 10,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.66 : 14,535.15 = 7,471.10 : x
  2. Step 2: Convert to fraction form
    10,538.66/14,535.15 = 7,471.10/x
  3. Step 3: Cross multiply
    10,538.66x = 14,535.15 × 7,471.10
  4. Step 4: Simplify right side
    10,538.66x = 108,593,559.17
  5. Step 5: Solve for x
    x = 108,593,559.17/10,538.66
  6. Step 6: Final answer
    x = 10,304.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.