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Finding the Fourth Proportional to 8,565.44, 12,847.96 and 3,948.44

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Solution

The fourth proportional to 8,565.44, 12,847.96 and 3,948.44 is: 5,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.44 : 12,847.96 = 3,948.44 : x
  2. Step 2: Convert to fraction form
    8,565.44/12,847.96 = 3,948.44/x
  3. Step 3: Cross multiply
    8,565.44x = 12,847.96 × 3,948.44
  4. Step 4: Simplify right side
    8,565.44x = 50,729,399.18
  5. Step 5: Solve for x
    x = 50,729,399.18/8,565.44
  6. Step 6: Final answer
    x = 5,922.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.