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Finding the Fourth Proportional to 10,092.42, 15,132.15 and 6,963.66

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Solution

The fourth proportional to 10,092.42, 15,132.15 and 6,963.66 is: 10,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.42 : 15,132.15 = 6,963.66 : x
  2. Step 2: Convert to fraction form
    10,092.42/15,132.15 = 6,963.66/x
  3. Step 3: Cross multiply
    10,092.42x = 15,132.15 × 6,963.66
  4. Step 4: Simplify right side
    10,092.42x = 105,375,147.67
  5. Step 5: Solve for x
    x = 105,375,147.67/10,092.42
  6. Step 6: Final answer
    x = 10,441.02

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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.