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Finding the Fourth Proportional to 12,108.38, 16,711.11 and 7,391.66

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Solution

The fourth proportional to 12,108.38, 16,711.11 and 7,391.66 is: 10,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108.38 : 16,711.11 = 7,391.66 : x
  2. Step 2: Convert to fraction form
    12,108.38/16,711.11 = 7,391.66/x
  3. Step 3: Cross multiply
    12,108.38x = 16,711.11 × 7,391.66
  4. Step 4: Simplify right side
    12,108.38x = 123,522,843.34
  5. Step 5: Solve for x
    x = 123,522,843.34/12,108.38
  6. Step 6: Final answer
    x = 10,201.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.