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Finding the Fourth Proportional to 8,077.52, 12,116.10 and 3,693.80

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Solution

The fourth proportional to 8,077.52, 12,116.10 and 3,693.80 is: 5,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.52 : 12,116.10 = 3,693.80 : x
  2. Step 2: Convert to fraction form
    8,077.52/12,116.10 = 3,693.80/x
  3. Step 3: Cross multiply
    8,077.52x = 12,116.10 × 3,693.80
  4. Step 4: Simplify right side
    8,077.52x = 44,754,450.18
  5. Step 5: Solve for x
    x = 44,754,450.18/8,077.52
  6. Step 6: Final answer
    x = 5,540.62

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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.