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Finding the Fourth Proportional to 8,023.57, 12,032.41 and 2,757.09

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Solution

The fourth proportional to 8,023.57, 12,032.41 and 2,757.09 is: 4,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.57 : 12,032.41 = 2,757.09 : x
  2. Step 2: Convert to fraction form
    8,023.57/12,032.41 = 2,757.09/x
  3. Step 3: Cross multiply
    8,023.57x = 12,032.41 × 2,757.09
  4. Step 4: Simplify right side
    8,023.57x = 33,174,371.41
  5. Step 5: Solve for x
    x = 33,174,371.41/8,023.57
  6. Step 6: Final answer
    x = 4,134.62

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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.