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Finding the Fourth Proportional to 8,571.60, 12,864.60 and 4,192.80

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Solution

The fourth proportional to 8,571.60, 12,864.60 and 4,192.80 is: 6,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.60 : 12,864.60 = 4,192.80 : x
  2. Step 2: Convert to fraction form
    8,571.60/12,864.60 = 4,192.80/x
  3. Step 3: Cross multiply
    8,571.60x = 12,864.60 × 4,192.80
  4. Step 4: Simplify right side
    8,571.60x = 53,938,694.88
  5. Step 5: Solve for x
    x = 53,938,694.88/8,571.60
  6. Step 6: Final answer
    x = 6,292.72

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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.