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Finding the Fourth Proportional to 8,340.90, 12,503.14 and 3,961.42

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Solution

The fourth proportional to 8,340.90, 12,503.14 and 3,961.42 is: 5,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.90 : 12,503.14 = 3,961.42 : x
  2. Step 2: Convert to fraction form
    8,340.90/12,503.14 = 3,961.42/x
  3. Step 3: Cross multiply
    8,340.90x = 12,503.14 × 3,961.42
  4. Step 4: Simplify right side
    8,340.90x = 49,530,188.86
  5. Step 5: Solve for x
    x = 49,530,188.86/8,340.90
  6. Step 6: Final answer
    x = 5,938.23

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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.