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Finding the Fourth Proportional to 8,565.20, 12,850.20 and 4,182.80

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Solution

The fourth proportional to 8,565.20, 12,850.20 and 4,182.80 is: 6,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.20 : 12,850.20 = 4,182.80 : x
  2. Step 2: Convert to fraction form
    8,565.20/12,850.20 = 4,182.80/x
  3. Step 3: Cross multiply
    8,565.20x = 12,850.20 × 4,182.80
  4. Step 4: Simplify right side
    8,565.20x = 53,749,816.56
  5. Step 5: Solve for x
    x = 53,749,816.56/8,565.20
  6. Step 6: Final answer
    x = 6,275.37

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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.