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Finding the Fourth Proportional to 11,929.68, 16,463.28 and 6,624.96

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Solution

The fourth proportional to 11,929.68, 16,463.28 and 6,624.96 is: 9,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.68 : 16,463.28 = 6,624.96 : x
  2. Step 2: Convert to fraction form
    11,929.68/16,463.28 = 6,624.96/x
  3. Step 3: Cross multiply
    11,929.68x = 16,463.28 × 6,624.96
  4. Step 4: Simplify right side
    11,929.68x = 109,068,571.47
  5. Step 5: Solve for x
    x = 109,068,571.47/11,929.68
  6. Step 6: Final answer
    x = 9,142.62

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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.