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Finding the Fourth Proportional to 12,540.46, 18,794.49 and 5,968.66

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Solution

The fourth proportional to 12,540.46, 18,794.49 and 5,968.66 is: 8,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.46 : 18,794.49 = 5,968.66 : x
  2. Step 2: Convert to fraction form
    12,540.46/18,794.49 = 5,968.66/x
  3. Step 3: Cross multiply
    12,540.46x = 18,794.49 × 5,968.66
  4. Step 4: Simplify right side
    12,540.46x = 112,177,920.68
  5. Step 5: Solve for x
    x = 112,177,920.68/12,540.46
  6. Step 6: Final answer
    x = 8,945.28

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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.