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Finding the Fourth Proportional to 8,120.38, 12,171 and 3,672.88

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Solution

The fourth proportional to 8,120.38, 12,171 and 3,672.88 is: 5,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.38 : 12,171 = 3,672.88 : x
  2. Step 2: Convert to fraction form
    8,120.38/12,171 = 3,672.88/x
  3. Step 3: Cross multiply
    8,120.38x = 12,171 × 3,672.88
  4. Step 4: Simplify right side
    8,120.38x = 44,702,622.48
  5. Step 5: Solve for x
    x = 44,702,622.48/8,120.38
  6. Step 6: Final answer
    x = 5,504.99

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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.