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Finding the Fourth Proportional to 11,531.25, 15,912.18 and 6,493.86

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Solution

The fourth proportional to 11,531.25, 15,912.18 and 6,493.86 is: 8,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.25 : 15,912.18 = 6,493.86 : x
  2. Step 2: Convert to fraction form
    11,531.25/15,912.18 = 6,493.86/x
  3. Step 3: Cross multiply
    11,531.25x = 15,912.18 × 6,493.86
  4. Step 4: Simplify right side
    11,531.25x = 103,331,469.21
  5. Step 5: Solve for x
    x = 103,331,469.21/11,531.25
  6. Step 6: Final answer
    x = 8,960.99

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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.