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Finding the Fourth Proportional to 8,022.80, 12,024.17 and 3,862.03

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Solution

The fourth proportional to 8,022.80, 12,024.17 and 3,862.03 is: 5,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.80 : 12,024.17 = 3,862.03 : x
  2. Step 2: Convert to fraction form
    8,022.80/12,024.17 = 3,862.03/x
  3. Step 3: Cross multiply
    8,022.80x = 12,024.17 × 3,862.03
  4. Step 4: Simplify right side
    8,022.80x = 46,437,705.27
  5. Step 5: Solve for x
    x = 46,437,705.27/8,022.80
  6. Step 6: Final answer
    x = 5,788.22

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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.