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Finding the Fourth Proportional to 11,866.11, 17,793.05 and 6,937.17

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Solution

The fourth proportional to 11,866.11, 17,793.05 and 6,937.17 is: 10,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.11 : 17,793.05 = 6,937.17 : x
  2. Step 2: Convert to fraction form
    11,866.11/17,793.05 = 6,937.17/x
  3. Step 3: Cross multiply
    11,866.11x = 17,793.05 × 6,937.17
  4. Step 4: Simplify right side
    11,866.11x = 123,433,377.98
  5. Step 5: Solve for x
    x = 123,433,377.98/11,866.11
  6. Step 6: Final answer
    x = 10,402.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.