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Finding the Fourth Proportional to 8,154.75, 12,234.87 and 3,474.57

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Solution

The fourth proportional to 8,154.75, 12,234.87 and 3,474.57 is: 5,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.75 : 12,234.87 = 3,474.57 : x
  2. Step 2: Convert to fraction form
    8,154.75/12,234.87 = 3,474.57/x
  3. Step 3: Cross multiply
    8,154.75x = 12,234.87 × 3,474.57
  4. Step 4: Simplify right side
    8,154.75x = 42,510,912.26
  5. Step 5: Solve for x
    x = 42,510,912.26/8,154.75
  6. Step 6: Final answer
    x = 5,213.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.