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Finding the Fourth Proportional to 8,057.50, 12,086.25 and 2,863.58

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Solution

The fourth proportional to 8,057.50, 12,086.25 and 2,863.58 is: 4,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.50 : 12,086.25 = 2,863.58 : x
  2. Step 2: Convert to fraction form
    8,057.50/12,086.25 = 2,863.58/x
  3. Step 3: Cross multiply
    8,057.50x = 12,086.25 × 2,863.58
  4. Step 4: Simplify right side
    8,057.50x = 34,609,943.78
  5. Step 5: Solve for x
    x = 34,609,943.78/8,057.50
  6. Step 6: Final answer
    x = 4,295.37

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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.