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Finding the Fourth Proportional to 8,142.40, 12,207.22 and 3,463.13

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Solution

The fourth proportional to 8,142.40, 12,207.22 and 3,463.13 is: 5,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.40 : 12,207.22 = 3,463.13 : x
  2. Step 2: Convert to fraction form
    8,142.40/12,207.22 = 3,463.13/x
  3. Step 3: Cross multiply
    8,142.40x = 12,207.22 × 3,463.13
  4. Step 4: Simplify right side
    8,142.40x = 42,275,189.80
  5. Step 5: Solve for x
    x = 42,275,189.80/8,142.40
  6. Step 6: Final answer
    x = 5,191.98

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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.