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Finding the Fourth Proportional to 8,324.10, 11,463.87 and 8,142.66

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Solution

The fourth proportional to 8,324.10, 11,463.87 and 8,142.66 is: 11,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.10 : 11,463.87 = 8,142.66 : x
  2. Step 2: Convert to fraction form
    8,324.10/11,463.87 = 8,142.66/x
  3. Step 3: Cross multiply
    8,324.10x = 11,463.87 × 8,142.66
  4. Step 4: Simplify right side
    8,324.10x = 93,346,395.69
  5. Step 5: Solve for x
    x = 93,346,395.69/8,324.10
  6. Step 6: Final answer
    x = 11,213.99

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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.