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Finding the Fourth Proportional to 11,414.40, 17,121.24 and 6,766.26

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Solution

The fourth proportional to 11,414.40, 17,121.24 and 6,766.26 is: 10,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.40 : 17,121.24 = 6,766.26 : x
  2. Step 2: Convert to fraction form
    11,414.40/17,121.24 = 6,766.26/x
  3. Step 3: Cross multiply
    11,414.40x = 17,121.24 × 6,766.26
  4. Step 4: Simplify right side
    11,414.40x = 115,846,761.36
  5. Step 5: Solve for x
    x = 115,846,761.36/11,414.40
  6. Step 6: Final answer
    x = 10,149.18

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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.