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Finding the Fourth Proportional to 8,086.50, 12,129.21 and 2,243.16

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Solution

The fourth proportional to 8,086.50, 12,129.21 and 2,243.16 is: 3,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.50 : 12,129.21 = 2,243.16 : x
  2. Step 2: Convert to fraction form
    8,086.50/12,129.21 = 2,243.16/x
  3. Step 3: Cross multiply
    8,086.50x = 12,129.21 × 2,243.16
  4. Step 4: Simplify right side
    8,086.50x = 27,207,758.70
  5. Step 5: Solve for x
    x = 27,207,758.70/8,086.50
  6. Step 6: Final answer
    x = 3,364.59

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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.