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Finding the Fourth Proportional to 11,872.17, 16,387.52 and 7,624.13

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Solution

The fourth proportional to 11,872.17, 16,387.52 and 7,624.13 is: 10,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.17 : 16,387.52 = 7,624.13 : x
  2. Step 2: Convert to fraction form
    11,872.17/16,387.52 = 7,624.13/x
  3. Step 3: Cross multiply
    11,872.17x = 16,387.52 × 7,624.13
  4. Step 4: Simplify right side
    11,872.17x = 124,940,462.80
  5. Step 5: Solve for x
    x = 124,940,462.80/11,872.17
  6. Step 6: Final answer
    x = 10,523.81

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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.