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Finding the Fourth Proportional to 8,041.57, 12,062.36 and 2,198.23

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Solution

The fourth proportional to 8,041.57, 12,062.36 and 2,198.23 is: 3,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.57 : 12,062.36 = 2,198.23 : x
  2. Step 2: Convert to fraction form
    8,041.57/12,062.36 = 2,198.23/x
  3. Step 3: Cross multiply
    8,041.57x = 12,062.36 × 2,198.23
  4. Step 4: Simplify right side
    8,041.57x = 26,515,841.62
  5. Step 5: Solve for x
    x = 26,515,841.62/8,041.57
  6. Step 6: Final answer
    x = 3,297.35

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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.