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Finding the Fourth Proportional to 10,562.24, 14,572.92 and 7,372.16

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Solution

The fourth proportional to 10,562.24, 14,572.92 and 7,372.16 is: 10,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.24 : 14,572.92 = 7,372.16 : x
  2. Step 2: Convert to fraction form
    10,562.24/14,572.92 = 7,372.16/x
  3. Step 3: Cross multiply
    10,562.24x = 14,572.92 × 7,372.16
  4. Step 4: Simplify right side
    10,562.24x = 107,433,897.91
  5. Step 5: Solve for x
    x = 107,433,897.91/10,562.24
  6. Step 6: Final answer
    x = 10,171.51

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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.