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Finding the Fourth Proportional to 8,149.75, 11,246.82 and 4,963.18

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Solution

The fourth proportional to 8,149.75, 11,246.82 and 4,963.18 is: 6,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.75 : 11,246.82 = 4,963.18 : x
  2. Step 2: Convert to fraction form
    8,149.75/11,246.82 = 4,963.18/x
  3. Step 3: Cross multiply
    8,149.75x = 11,246.82 × 4,963.18
  4. Step 4: Simplify right side
    8,149.75x = 55,819,992.09
  5. Step 5: Solve for x
    x = 55,819,992.09/8,149.75
  6. Step 6: Final answer
    x = 6,849.29

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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.