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Finding the Fourth Proportional to 12,092.29, 16,687.88 and 7,614.34

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Solution

The fourth proportional to 12,092.29, 16,687.88 and 7,614.34 is: 10,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.29 : 16,687.88 = 7,614.34 : x
  2. Step 2: Convert to fraction form
    12,092.29/16,687.88 = 7,614.34/x
  3. Step 3: Cross multiply
    12,092.29x = 16,687.88 × 7,614.34
  4. Step 4: Simplify right side
    12,092.29x = 127,067,192.20
  5. Step 5: Solve for x
    x = 127,067,192.20/12,092.29
  6. Step 6: Final answer
    x = 10,508.12

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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.