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Finding the Fourth Proportional to 11,930.40, 16,463.25 and 6,624.90

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Solution

The fourth proportional to 11,930.40, 16,463.25 and 6,624.90 is: 9,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.40 : 16,463.25 = 6,624.90 : x
  2. Step 2: Convert to fraction form
    11,930.40/16,463.25 = 6,624.90/x
  3. Step 3: Cross multiply
    11,930.40x = 16,463.25 × 6,624.90
  4. Step 4: Simplify right side
    11,930.40x = 109,067,384.93
  5. Step 5: Solve for x
    x = 109,067,384.93/11,930.40
  6. Step 6: Final answer
    x = 9,141.97

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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.