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Finding the Fourth Proportional to 8,571.24, 12,843.72 and 4,177.80

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Solution

The fourth proportional to 8,571.24, 12,843.72 and 4,177.80 is: 6,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.24 : 12,843.72 = 4,177.80 : x
  2. Step 2: Convert to fraction form
    8,571.24/12,843.72 = 4,177.80/x
  3. Step 3: Cross multiply
    8,571.24x = 12,843.72 × 4,177.80
  4. Step 4: Simplify right side
    8,571.24x = 53,658,493.42
  5. Step 5: Solve for x
    x = 53,658,493.42/8,571.24
  6. Step 6: Final answer
    x = 6,260.30

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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.