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Finding the Fourth Proportional to 8,243.82, 12,367.62 and 2,697.48

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Solution

The fourth proportional to 8,243.82, 12,367.62 and 2,697.48 is: 4,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.82 : 12,367.62 = 2,697.48 : x
  2. Step 2: Convert to fraction form
    8,243.82/12,367.62 = 2,697.48/x
  3. Step 3: Cross multiply
    8,243.82x = 12,367.62 × 2,697.48
  4. Step 4: Simplify right side
    8,243.82x = 33,361,407.60
  5. Step 5: Solve for x
    x = 33,361,407.60/8,243.82
  6. Step 6: Final answer
    x = 4,046.84

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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.