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Finding the Fourth Proportional to 8,234.01, 12,353.76 and 5,471.55

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Solution

The fourth proportional to 8,234.01, 12,353.76 and 5,471.55 is: 8,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.01 : 12,353.76 = 5,471.55 : x
  2. Step 2: Convert to fraction form
    8,234.01/12,353.76 = 5,471.55/x
  3. Step 3: Cross multiply
    8,234.01x = 12,353.76 × 5,471.55
  4. Step 4: Simplify right side
    8,234.01x = 67,594,215.53
  5. Step 5: Solve for x
    x = 67,594,215.53/8,234.01
  6. Step 6: Final answer
    x = 8,209.15

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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.