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Finding the Fourth Proportional to 8,140.29, 11,233.62 and 4,414.29

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Solution

The fourth proportional to 8,140.29, 11,233.62 and 4,414.29 is: 6,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.29 : 11,233.62 = 4,414.29 : x
  2. Step 2: Convert to fraction form
    8,140.29/11,233.62 = 4,414.29/x
  3. Step 3: Cross multiply
    8,140.29x = 11,233.62 × 4,414.29
  4. Step 4: Simplify right side
    8,140.29x = 49,588,456.43
  5. Step 5: Solve for x
    x = 49,588,456.43/8,140.29
  6. Step 6: Final answer
    x = 6,091.73

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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.