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Finding the Fourth Proportional to 8,342.60, 11,517.58 and 6,229.78

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Solution

The fourth proportional to 8,342.60, 11,517.58 and 6,229.78 is: 8,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.60 : 11,517.58 = 6,229.78 : x
  2. Step 2: Convert to fraction form
    8,342.60/11,517.58 = 6,229.78/x
  3. Step 3: Cross multiply
    8,342.60x = 11,517.58 × 6,229.78
  4. Step 4: Simplify right side
    8,342.60x = 71,751,989.53
  5. Step 5: Solve for x
    x = 71,751,989.53/8,342.60
  6. Step 6: Final answer
    x = 8,600.67

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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.