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Finding the Fourth Proportional to 8,032.89, 12,049.32 and 2,189.49

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Solution

The fourth proportional to 8,032.89, 12,049.32 and 2,189.49 is: 3,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.89 : 12,049.32 = 2,189.49 : x
  2. Step 2: Convert to fraction form
    8,032.89/12,049.32 = 2,189.49/x
  3. Step 3: Cross multiply
    8,032.89x = 12,049.32 × 2,189.49
  4. Step 4: Simplify right side
    8,032.89x = 26,381,865.65
  5. Step 5: Solve for x
    x = 26,381,865.65/8,032.89
  6. Step 6: Final answer
    x = 3,284.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.