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Finding the Fourth Proportional to 11,897.18, 16,414.83 and 7,115.17

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Solution

The fourth proportional to 11,897.18, 16,414.83 and 7,115.17 is: 9,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.18 : 16,414.83 = 7,115.17 : x
  2. Step 2: Convert to fraction form
    11,897.18/16,414.83 = 7,115.17/x
  3. Step 3: Cross multiply
    11,897.18x = 16,414.83 × 7,115.17
  4. Step 4: Simplify right side
    11,897.18x = 116,794,305.97
  5. Step 5: Solve for x
    x = 116,794,305.97/11,897.18
  6. Step 6: Final answer
    x = 9,816.97

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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.