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Finding the Fourth Proportional to 8,057.90, 12,084.96 and 2,213.12

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Solution

The fourth proportional to 8,057.90, 12,084.96 and 2,213.12 is: 3,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.90 : 12,084.96 = 2,213.12 : x
  2. Step 2: Convert to fraction form
    8,057.90/12,084.96 = 2,213.12/x
  3. Step 3: Cross multiply
    8,057.90x = 12,084.96 × 2,213.12
  4. Step 4: Simplify right side
    8,057.90x = 26,745,466.68
  5. Step 5: Solve for x
    x = 26,745,466.68/8,057.90
  6. Step 6: Final answer
    x = 3,319.16

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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.