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Finding the Fourth Proportional to 11,929.20, 16,463.07 and 6,624

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Solution

The fourth proportional to 11,929.20, 16,463.07 and 6,624 is: 9,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.20 : 16,463.07 = 6,624 : x
  2. Step 2: Convert to fraction form
    11,929.20/16,463.07 = 6,624/x
  3. Step 3: Cross multiply
    11,929.20x = 16,463.07 × 6,624
  4. Step 4: Simplify right side
    11,929.20x = 109,051,375.68
  5. Step 5: Solve for x
    x = 109,051,375.68/11,929.20
  6. Step 6: Final answer
    x = 9,141.55

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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.