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Finding the Fourth Proportional to 10,517.92, 14,512.71 and 6,326.44

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Solution

The fourth proportional to 10,517.92, 14,512.71 and 6,326.44 is: 8,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.92 : 14,512.71 = 6,326.44 : x
  2. Step 2: Convert to fraction form
    10,517.92/14,512.71 = 6,326.44/x
  3. Step 3: Cross multiply
    10,517.92x = 14,512.71 × 6,326.44
  4. Step 4: Simplify right side
    10,517.92x = 91,813,789.05
  5. Step 5: Solve for x
    x = 91,813,789.05/10,517.92
  6. Step 6: Final answer
    x = 8,729.27

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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.