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Finding the Fourth Proportional to 8,148.18, 12,213.44 and 3,991

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Solution

The fourth proportional to 8,148.18, 12,213.44 and 3,991 is: 5,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.18 : 12,213.44 = 3,991 : x
  2. Step 2: Convert to fraction form
    8,148.18/12,213.44 = 3,991/x
  3. Step 3: Cross multiply
    8,148.18x = 12,213.44 × 3,991
  4. Step 4: Simplify right side
    8,148.18x = 48,743,839.04
  5. Step 5: Solve for x
    x = 48,743,839.04/8,148.18
  6. Step 6: Final answer
    x = 5,982.18

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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.