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Finding the Fourth Proportional to 8,517.75, 12,765.81 and 3,832.74

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Solution

The fourth proportional to 8,517.75, 12,765.81 and 3,832.74 is: 5,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.75 : 12,765.81 = 3,832.74 : x
  2. Step 2: Convert to fraction form
    8,517.75/12,765.81 = 3,832.74/x
  3. Step 3: Cross multiply
    8,517.75x = 12,765.81 × 3,832.74
  4. Step 4: Simplify right side
    8,517.75x = 48,928,030.62
  5. Step 5: Solve for x
    x = 48,928,030.62/8,517.75
  6. Step 6: Final answer
    x = 5,744.24

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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.