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Finding the Fourth Proportional to 8,041.59, 12,062 and 2,198.18

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Solution

The fourth proportional to 8,041.59, 12,062 and 2,198.18 is: 3,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.59 : 12,062 = 2,198.18 : x
  2. Step 2: Convert to fraction form
    8,041.59/12,062 = 2,198.18/x
  3. Step 3: Cross multiply
    8,041.59x = 12,062 × 2,198.18
  4. Step 4: Simplify right side
    8,041.59x = 26,514,447.16
  5. Step 5: Solve for x
    x = 26,514,447.16/8,041.59
  6. Step 6: Final answer
    x = 3,297.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.