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Finding the Fourth Proportional to 8,032.50, 12,049.38 and 2,189.34

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Solution

The fourth proportional to 8,032.50, 12,049.38 and 2,189.34 is: 3,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.50 : 12,049.38 = 2,189.34 : x
  2. Step 2: Convert to fraction form
    8,032.50/12,049.38 = 2,189.34/x
  3. Step 3: Cross multiply
    8,032.50x = 12,049.38 × 2,189.34
  4. Step 4: Simplify right side
    8,032.50x = 26,380,189.61
  5. Step 5: Solve for x
    x = 26,380,189.61/8,032.50
  6. Step 6: Final answer
    x = 3,284.18

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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.