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Finding the Fourth Proportional to 8,149.74, 11,246.82 and 4,963.19

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Solution

The fourth proportional to 8,149.74, 11,246.82 and 4,963.19 is: 6,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.74 : 11,246.82 = 4,963.19 : x
  2. Step 2: Convert to fraction form
    8,149.74/11,246.82 = 4,963.19/x
  3. Step 3: Cross multiply
    8,149.74x = 11,246.82 × 4,963.19
  4. Step 4: Simplify right side
    8,149.74x = 55,820,048.32
  5. Step 5: Solve for x
    x = 55,820,048.32/8,149.74
  6. Step 6: Final answer
    x = 6,849.30

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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.