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Finding the Fourth Proportional to 10,940.97, 15,098.17 and 6,161.16

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Solution

The fourth proportional to 10,940.97, 15,098.17 and 6,161.16 is: 8,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.97 : 15,098.17 = 6,161.16 : x
  2. Step 2: Convert to fraction form
    10,940.97/15,098.17 = 6,161.16/x
  3. Step 3: Cross multiply
    10,940.97x = 15,098.17 × 6,161.16
  4. Step 4: Simplify right side
    10,940.97x = 93,022,241.08
  5. Step 5: Solve for x
    x = 93,022,241.08/10,940.97
  6. Step 6: Final answer
    x = 8,502.19

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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.