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Finding the Fourth Proportional to 8,158.68, 12,231.09 and 3,231.78

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Solution

The fourth proportional to 8,158.68, 12,231.09 and 3,231.78 is: 4,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.68 : 12,231.09 = 3,231.78 : x
  2. Step 2: Convert to fraction form
    8,158.68/12,231.09 = 3,231.78/x
  3. Step 3: Cross multiply
    8,158.68x = 12,231.09 × 3,231.78
  4. Step 4: Simplify right side
    8,158.68x = 39,528,192.04
  5. Step 5: Solve for x
    x = 39,528,192.04/8,158.68
  6. Step 6: Final answer
    x = 4,844.92

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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.