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Finding the Fourth Proportional to 8,032.44, 12,049.20 and 2,836.56

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Solution

The fourth proportional to 8,032.44, 12,049.20 and 2,836.56 is: 4,255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.44 : 12,049.20 = 2,836.56 : x
  2. Step 2: Convert to fraction form
    8,032.44/12,049.20 = 2,836.56/x
  3. Step 3: Cross multiply
    8,032.44x = 12,049.20 × 2,836.56
  4. Step 4: Simplify right side
    8,032.44x = 34,178,278.75
  5. Step 5: Solve for x
    x = 34,178,278.75/8,032.44
  6. Step 6: Final answer
    x = 4,255.03

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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.