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Finding the Fourth Proportional to 10,891.52, 15,033.72 and 6,414.96

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Solution

The fourth proportional to 10,891.52, 15,033.72 and 6,414.96 is: 8,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.52 : 15,033.72 = 6,414.96 : x
  2. Step 2: Convert to fraction form
    10,891.52/15,033.72 = 6,414.96/x
  3. Step 3: Cross multiply
    10,891.52x = 15,033.72 × 6,414.96
  4. Step 4: Simplify right side
    10,891.52x = 96,440,712.45
  5. Step 5: Solve for x
    x = 96,440,712.45/10,891.52
  6. Step 6: Final answer
    x = 8,854.66

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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.