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Finding the Fourth Proportional to 27,512.46, 41,268.78 and 6,735.96

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Solution

The fourth proportional to 27,512.46, 41,268.78 and 6,735.96 is: 10,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512.46 : 41,268.78 = 6,735.96 : x
  2. Step 2: Convert to fraction form
    27,512.46/41,268.78 = 6,735.96/x
  3. Step 3: Cross multiply
    27,512.46x = 41,268.78 × 6,735.96
  4. Step 4: Simplify right side
    27,512.46x = 277,984,851.33
  5. Step 5: Solve for x
    x = 277,984,851.33/27,512.46
  6. Step 6: Final answer
    x = 10,103.96

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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.