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Finding the Fourth Proportional to 11,929.71, 16,463.43 and 6,624.93

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Solution

The fourth proportional to 11,929.71, 16,463.43 and 6,624.93 is: 9,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.71 : 16,463.43 = 6,624.93 : x
  2. Step 2: Convert to fraction form
    11,929.71/16,463.43 = 6,624.93/x
  3. Step 3: Cross multiply
    11,929.71x = 16,463.43 × 6,624.93
  4. Step 4: Simplify right side
    11,929.71x = 109,069,071.31
  5. Step 5: Solve for x
    x = 109,069,071.31/11,929.71
  6. Step 6: Final answer
    x = 9,142.64

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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.