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Finding the Fourth Proportional to 8,151.78, 12,230.30 and 3,711.03

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Solution

The fourth proportional to 8,151.78, 12,230.30 and 3,711.03 is: 5,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.78 : 12,230.30 = 3,711.03 : x
  2. Step 2: Convert to fraction form
    8,151.78/12,230.30 = 3,711.03/x
  3. Step 3: Cross multiply
    8,151.78x = 12,230.30 × 3,711.03
  4. Step 4: Simplify right side
    8,151.78x = 45,386,991.65
  5. Step 5: Solve for x
    x = 45,386,991.65/8,151.78
  6. Step 6: Final answer
    x = 5,567.74

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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.