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Finding the Fourth Proportional to 8,385.60, 12,584.44 and 6,761.72

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Solution

The fourth proportional to 8,385.60, 12,584.44 and 6,761.72 is: 10,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.60 : 12,584.44 = 6,761.72 : x
  2. Step 2: Convert to fraction form
    8,385.60/12,584.44 = 6,761.72/x
  3. Step 3: Cross multiply
    8,385.60x = 12,584.44 × 6,761.72
  4. Step 4: Simplify right side
    8,385.60x = 85,092,459.64
  5. Step 5: Solve for x
    x = 85,092,459.64/8,385.60
  6. Step 6: Final answer
    x = 10,147.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.