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Finding the Fourth Proportional to 11,171.32, 15,414.71 and 6,454.69

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Solution

The fourth proportional to 11,171.32, 15,414.71 and 6,454.69 is: 8,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.32 : 15,414.71 = 6,454.69 : x
  2. Step 2: Convert to fraction form
    11,171.32/15,414.71 = 6,454.69/x
  3. Step 3: Cross multiply
    11,171.32x = 15,414.71 × 6,454.69
  4. Step 4: Simplify right side
    11,171.32x = 99,497,103.68
  5. Step 5: Solve for x
    x = 99,497,103.68/11,171.32
  6. Step 6: Final answer
    x = 8,906.48

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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.