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Finding the Fourth Proportional to 8,377.56, 12,561.42 and 3,183.80

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Solution

The fourth proportional to 8,377.56, 12,561.42 and 3,183.80 is: 4,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.56 : 12,561.42 = 3,183.80 : x
  2. Step 2: Convert to fraction form
    8,377.56/12,561.42 = 3,183.80/x
  3. Step 3: Cross multiply
    8,377.56x = 12,561.42 × 3,183.80
  4. Step 4: Simplify right side
    8,377.56x = 39,993,049.00
  5. Step 5: Solve for x
    x = 39,993,049.00/8,377.56
  6. Step 6: Final answer
    x = 4,773.83

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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.