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Finding the Fourth Proportional to 8,571.60, 12,857.38 and 2,728.19

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Solution

The fourth proportional to 8,571.60, 12,857.38 and 2,728.19 is: 4,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.60 : 12,857.38 = 2,728.19 : x
  2. Step 2: Convert to fraction form
    8,571.60/12,857.38 = 2,728.19/x
  3. Step 3: Cross multiply
    8,571.60x = 12,857.38 × 2,728.19
  4. Step 4: Simplify right side
    8,571.60x = 35,077,400.87
  5. Step 5: Solve for x
    x = 35,077,400.87/8,571.60
  6. Step 6: Final answer
    x = 4,092.28

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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.