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Finding the Fourth Proportional to 8,189.22, 12,283.82 and 2,033.22

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Solution

The fourth proportional to 8,189.22, 12,283.82 and 2,033.22 is: 3,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.22 : 12,283.82 = 2,033.22 : x
  2. Step 2: Convert to fraction form
    8,189.22/12,283.82 = 2,033.22/x
  3. Step 3: Cross multiply
    8,189.22x = 12,283.82 × 2,033.22
  4. Step 4: Simplify right side
    8,189.22x = 24,975,708.50
  5. Step 5: Solve for x
    x = 24,975,708.50/8,189.22
  6. Step 6: Final answer
    x = 3,049.83

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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.