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Finding the Fourth Proportional to 8,172.56, 12,261.23 and 2,625.78

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Solution

The fourth proportional to 8,172.56, 12,261.23 and 2,625.78 is: 3,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.56 : 12,261.23 = 2,625.78 : x
  2. Step 2: Convert to fraction form
    8,172.56/12,261.23 = 2,625.78/x
  3. Step 3: Cross multiply
    8,172.56x = 12,261.23 × 2,625.78
  4. Step 4: Simplify right side
    8,172.56x = 32,195,279.38
  5. Step 5: Solve for x
    x = 32,195,279.38/8,172.56
  6. Step 6: Final answer
    x = 3,939.44

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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.