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Finding the Fourth Proportional to 8,234.78, 11,355.17 and 6,639.75

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Solution

The fourth proportional to 8,234.78, 11,355.17 and 6,639.75 is: 9,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.78 : 11,355.17 = 6,639.75 : x
  2. Step 2: Convert to fraction form
    8,234.78/11,355.17 = 6,639.75/x
  3. Step 3: Cross multiply
    8,234.78x = 11,355.17 × 6,639.75
  4. Step 4: Simplify right side
    8,234.78x = 75,395,456.81
  5. Step 5: Solve for x
    x = 75,395,456.81/8,234.78
  6. Step 6: Final answer
    x = 9,155.74

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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.