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Finding the Fourth Proportional to 8,151.42, 12,228.78 and 3,471.42

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Solution

The fourth proportional to 8,151.42, 12,228.78 and 3,471.42 is: 5,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.42 : 12,228.78 = 3,471.42 : x
  2. Step 2: Convert to fraction form
    8,151.42/12,228.78 = 3,471.42/x
  3. Step 3: Cross multiply
    8,151.42x = 12,228.78 × 3,471.42
  4. Step 4: Simplify right side
    8,151.42x = 42,451,231.47
  5. Step 5: Solve for x
    x = 42,451,231.47/8,151.42
  6. Step 6: Final answer
    x = 5,207.83

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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.