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Finding the Fourth Proportional to 8,026.36, 12,029.46 and 3,862.96

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Solution

The fourth proportional to 8,026.36, 12,029.46 and 3,862.96 is: 5,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.36 : 12,029.46 = 3,862.96 : x
  2. Step 2: Convert to fraction form
    8,026.36/12,029.46 = 3,862.96/x
  3. Step 3: Cross multiply
    8,026.36x = 12,029.46 × 3,862.96
  4. Step 4: Simplify right side
    8,026.36x = 46,469,322.80
  5. Step 5: Solve for x
    x = 46,469,322.80/8,026.36
  6. Step 6: Final answer
    x = 5,789.59

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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.