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Finding the Fourth Proportional to 8,640.46, 11,923.90 and 5,105.42

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Solution

The fourth proportional to 8,640.46, 11,923.90 and 5,105.42 is: 7,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.46 : 11,923.90 = 5,105.42 : x
  2. Step 2: Convert to fraction form
    8,640.46/11,923.90 = 5,105.42/x
  3. Step 3: Cross multiply
    8,640.46x = 11,923.90 × 5,105.42
  4. Step 4: Simplify right side
    8,640.46x = 60,876,517.54
  5. Step 5: Solve for x
    x = 60,876,517.54/8,640.46
  6. Step 6: Final answer
    x = 7,045.52

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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.