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Finding the Fourth Proportional to 8,161.38, 12,242.39 and 2,896.97

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Solution

The fourth proportional to 8,161.38, 12,242.39 and 2,896.97 is: 4,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.38 : 12,242.39 = 2,896.97 : x
  2. Step 2: Convert to fraction form
    8,161.38/12,242.39 = 2,896.97/x
  3. Step 3: Cross multiply
    8,161.38x = 12,242.39 × 2,896.97
  4. Step 4: Simplify right side
    8,161.38x = 35,465,760.86
  5. Step 5: Solve for x
    x = 35,465,760.86/8,161.38
  6. Step 6: Final answer
    x = 4,345.56

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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.