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Finding the Fourth Proportional to 8,131.66, 12,189.12 and 3,199.30

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Solution

The fourth proportional to 8,131.66, 12,189.12 and 3,199.30 is: 4,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.66 : 12,189.12 = 3,199.30 : x
  2. Step 2: Convert to fraction form
    8,131.66/12,189.12 = 3,199.30/x
  3. Step 3: Cross multiply
    8,131.66x = 12,189.12 × 3,199.30
  4. Step 4: Simplify right side
    8,131.66x = 38,996,651.62
  5. Step 5: Solve for x
    x = 38,996,651.62/8,131.66
  6. Step 6: Final answer
    x = 4,795.66

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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.