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Finding the Fourth Proportional to 8,251.75, 11,387.46 and 4,896.25

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Solution

The fourth proportional to 8,251.75, 11,387.46 and 4,896.25 is: 6,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.75 : 11,387.46 = 4,896.25 : x
  2. Step 2: Convert to fraction form
    8,251.75/11,387.46 = 4,896.25/x
  3. Step 3: Cross multiply
    8,251.75x = 11,387.46 × 4,896.25
  4. Step 4: Simplify right side
    8,251.75x = 55,755,851.03
  5. Step 5: Solve for x
    x = 55,755,851.03/8,251.75
  6. Step 6: Final answer
    x = 6,756.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.