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Finding the Fourth Proportional to 11,414.62, 17,125.82 and 6,150.17

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Solution

The fourth proportional to 11,414.62, 17,125.82 and 6,150.17 is: 9,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.62 : 17,125.82 = 6,150.17 : x
  2. Step 2: Convert to fraction form
    11,414.62/17,125.82 = 6,150.17/x
  3. Step 3: Cross multiply
    11,414.62x = 17,125.82 × 6,150.17
  4. Step 4: Simplify right side
    11,414.62x = 105,326,704.39
  5. Step 5: Solve for x
    x = 105,326,704.39/11,414.62
  6. Step 6: Final answer
    x = 9,227.35

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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.