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Finding the Fourth Proportional to 8,295.31, 12,441.87 and 2,747.26

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Solution

The fourth proportional to 8,295.31, 12,441.87 and 2,747.26 is: 4,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.31 : 12,441.87 = 2,747.26 : x
  2. Step 2: Convert to fraction form
    8,295.31/12,441.87 = 2,747.26/x
  3. Step 3: Cross multiply
    8,295.31x = 12,441.87 × 2,747.26
  4. Step 4: Simplify right side
    8,295.31x = 34,181,051.78
  5. Step 5: Solve for x
    x = 34,181,051.78/8,295.31
  6. Step 6: Final answer
    x = 4,120.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.