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Finding the Fourth Proportional to 8,198.55, 11,315.30 and 5,211.27

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Solution

The fourth proportional to 8,198.55, 11,315.30 and 5,211.27 is: 7,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.55 : 11,315.30 = 5,211.27 : x
  2. Step 2: Convert to fraction form
    8,198.55/11,315.30 = 5,211.27/x
  3. Step 3: Cross multiply
    8,198.55x = 11,315.30 × 5,211.27
  4. Step 4: Simplify right side
    8,198.55x = 58,967,057.37
  5. Step 5: Solve for x
    x = 58,967,057.37/8,198.55
  6. Step 6: Final answer
    x = 7,192.38

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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.