Home / 8,198.44-11,306.82-5,401

Finding the Fourth Proportional to 8,198.44, 11,306.82 and 5,401

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Solution

The fourth proportional to 8,198.44, 11,306.82 and 5,401 is: 7,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.44 : 11,306.82 = 5,401 : x
  2. Step 2: Convert to fraction form
    8,198.44/11,306.82 = 5,401/x
  3. Step 3: Cross multiply
    8,198.44x = 11,306.82 × 5,401
  4. Step 4: Simplify right side
    8,198.44x = 61,068,134.82
  5. Step 5: Solve for x
    x = 61,068,134.82/8,198.44
  6. Step 6: Final answer
    x = 7,448.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.