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Finding the Fourth Proportional to 8,101.86, 12,149.28 and 3,423.96

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Solution

The fourth proportional to 8,101.86, 12,149.28 and 3,423.96 is: 5,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.86 : 12,149.28 = 3,423.96 : x
  2. Step 2: Convert to fraction form
    8,101.86/12,149.28 = 3,423.96/x
  3. Step 3: Cross multiply
    8,101.86x = 12,149.28 × 3,423.96
  4. Step 4: Simplify right side
    8,101.86x = 41,598,648.75
  5. Step 5: Solve for x
    x = 41,598,648.75/8,101.86
  6. Step 6: Final answer
    x = 5,134.46

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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.