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Finding the Fourth Proportional to 10,243.78, 15,343.19 and 8,468.66

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Solution

The fourth proportional to 10,243.78, 15,343.19 and 8,468.66 is: 12,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.78 : 15,343.19 = 8,468.66 : x
  2. Step 2: Convert to fraction form
    10,243.78/15,343.19 = 8,468.66/x
  3. Step 3: Cross multiply
    10,243.78x = 15,343.19 × 8,468.66
  4. Step 4: Simplify right side
    10,243.78x = 129,936,276.61
  5. Step 5: Solve for x
    x = 129,936,276.61/10,243.78
  6. Step 6: Final answer
    x = 12,684.41

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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.