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Finding the Fourth Proportional to 8,297.24, 12,446.38 and 2,754.41

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Solution

The fourth proportional to 8,297.24, 12,446.38 and 2,754.41 is: 4,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.24 : 12,446.38 = 2,754.41 : x
  2. Step 2: Convert to fraction form
    8,297.24/12,446.38 = 2,754.41/x
  3. Step 3: Cross multiply
    8,297.24x = 12,446.38 × 2,754.41
  4. Step 4: Simplify right side
    8,297.24x = 34,282,382.49
  5. Step 5: Solve for x
    x = 34,282,382.49/8,297.24
  6. Step 6: Final answer
    x = 4,131.78

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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.