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Finding the Fourth Proportional to 8,032.28, 12,046.10 and 2,767.07

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Solution

The fourth proportional to 8,032.28, 12,046.10 and 2,767.07 is: 4,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.28 : 12,046.10 = 2,767.07 : x
  2. Step 2: Convert to fraction form
    8,032.28/12,046.10 = 2,767.07/x
  3. Step 3: Cross multiply
    8,032.28x = 12,046.10 × 2,767.07
  4. Step 4: Simplify right side
    8,032.28x = 33,332,388.09
  5. Step 5: Solve for x
    x = 33,332,388.09/8,032.28
  6. Step 6: Final answer
    x = 4,149.81

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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.