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Finding the Fourth Proportional to 8,729.50, 13,086.31 and 3,181.58

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Solution

The fourth proportional to 8,729.50, 13,086.31 and 3,181.58 is: 4,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.50 : 13,086.31 = 3,181.58 : x
  2. Step 2: Convert to fraction form
    8,729.50/13,086.31 = 3,181.58/x
  3. Step 3: Cross multiply
    8,729.50x = 13,086.31 × 3,181.58
  4. Step 4: Simplify right side
    8,729.50x = 41,635,142.17
  5. Step 5: Solve for x
    x = 41,635,142.17/8,729.50
  6. Step 6: Final answer
    x = 4,769.48

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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.