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Finding the Fourth Proportional to 8,118.56, 12,178.18 and 2,571.78

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Solution

The fourth proportional to 8,118.56, 12,178.18 and 2,571.78 is: 3,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.56 : 12,178.18 = 2,571.78 : x
  2. Step 2: Convert to fraction form
    8,118.56/12,178.18 = 2,571.78/x
  3. Step 3: Cross multiply
    8,118.56x = 12,178.18 × 2,571.78
  4. Step 4: Simplify right side
    8,118.56x = 31,319,597.27
  5. Step 5: Solve for x
    x = 31,319,597.27/8,118.56
  6. Step 6: Final answer
    x = 3,857.78

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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.