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Finding the Fourth Proportional to 8,022.62, 12,029.52 and 2,474.44

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Solution

The fourth proportional to 8,022.62, 12,029.52 and 2,474.44 is: 3,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.62 : 12,029.52 = 2,474.44 : x
  2. Step 2: Convert to fraction form
    8,022.62/12,029.52 = 2,474.44/x
  3. Step 3: Cross multiply
    8,022.62x = 12,029.52 × 2,474.44
  4. Step 4: Simplify right side
    8,022.62x = 29,766,325.47
  5. Step 5: Solve for x
    x = 29,766,325.47/8,022.62
  6. Step 6: Final answer
    x = 3,710.30

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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.