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Finding the Fourth Proportional to 8,134.28, 12,191.42 and 3,745.64

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Solution

The fourth proportional to 8,134.28, 12,191.42 and 3,745.64 is: 5,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.28 : 12,191.42 = 3,745.64 : x
  2. Step 2: Convert to fraction form
    8,134.28/12,191.42 = 3,745.64/x
  3. Step 3: Cross multiply
    8,134.28x = 12,191.42 × 3,745.64
  4. Step 4: Simplify right side
    8,134.28x = 45,664,670.41
  5. Step 5: Solve for x
    x = 45,664,670.41/8,134.28
  6. Step 6: Final answer
    x = 5,613.86

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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.