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Finding the Fourth Proportional to 8,140.89, 11,234.46 and 4,414.89

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Solution

The fourth proportional to 8,140.89, 11,234.46 and 4,414.89 is: 6,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.89 : 11,234.46 = 4,414.89 : x
  2. Step 2: Convert to fraction form
    8,140.89/11,234.46 = 4,414.89/x
  3. Step 3: Cross multiply
    8,140.89x = 11,234.46 × 4,414.89
  4. Step 4: Simplify right side
    8,140.89x = 49,598,905.11
  5. Step 5: Solve for x
    x = 49,598,905.11/8,140.89
  6. Step 6: Final answer
    x = 6,092.57

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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.