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Finding the Fourth Proportional to 8,134.62, 12,204.06 and 3,454.80

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Solution

The fourth proportional to 8,134.62, 12,204.06 and 3,454.80 is: 5,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.62 : 12,204.06 = 3,454.80 : x
  2. Step 2: Convert to fraction form
    8,134.62/12,204.06 = 3,454.80/x
  3. Step 3: Cross multiply
    8,134.62x = 12,204.06 × 3,454.80
  4. Step 4: Simplify right side
    8,134.62x = 42,162,586.49
  5. Step 5: Solve for x
    x = 42,162,586.49/8,134.62
  6. Step 6: Final answer
    x = 5,183.10

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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.