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Finding the Fourth Proportional to 8,041.34, 12,062.16 and 2,198.09

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Solution

The fourth proportional to 8,041.34, 12,062.16 and 2,198.09 is: 3,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.34 : 12,062.16 = 2,198.09 : x
  2. Step 2: Convert to fraction form
    8,041.34/12,062.16 = 2,198.09/x
  3. Step 3: Cross multiply
    8,041.34x = 12,062.16 × 2,198.09
  4. Step 4: Simplify right side
    8,041.34x = 26,513,652.96
  5. Step 5: Solve for x
    x = 26,513,652.96/8,041.34
  6. Step 6: Final answer
    x = 3,297.17

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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.