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Finding the Fourth Proportional to 8,571.20, 12,859.20 and 4,188.80

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Solution

The fourth proportional to 8,571.20, 12,859.20 and 4,188.80 is: 6,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.20 : 12,859.20 = 4,188.80 : x
  2. Step 2: Convert to fraction form
    8,571.20/12,859.20 = 4,188.80/x
  3. Step 3: Cross multiply
    8,571.20x = 12,859.20 × 4,188.80
  4. Step 4: Simplify right side
    8,571.20x = 53,864,616.96
  5. Step 5: Solve for x
    x = 53,864,616.96/8,571.20
  6. Step 6: Final answer
    x = 6,284.37

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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.