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Finding the Fourth Proportional to 8,571.54, 12,857.16 and 2,728.08

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Solution

The fourth proportional to 8,571.54, 12,857.16 and 2,728.08 is: 4,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.54 : 12,857.16 = 2,728.08 : x
  2. Step 2: Convert to fraction form
    8,571.54/12,857.16 = 2,728.08/x
  3. Step 3: Cross multiply
    8,571.54x = 12,857.16 × 2,728.08
  4. Step 4: Simplify right side
    8,571.54x = 35,075,361.05
  5. Step 5: Solve for x
    x = 35,075,361.05/8,571.54
  6. Step 6: Final answer
    x = 4,092.07

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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.