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Finding the Fourth Proportional to 8,198.36, 11,315.42 and 5,213.62

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Solution

The fourth proportional to 8,198.36, 11,315.42 and 5,213.62 is: 7,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.36 : 11,315.42 = 5,213.62 : x
  2. Step 2: Convert to fraction form
    8,198.36/11,315.42 = 5,213.62/x
  3. Step 3: Cross multiply
    8,198.36x = 11,315.42 × 5,213.62
  4. Step 4: Simplify right side
    8,198.36x = 58,994,296.21
  5. Step 5: Solve for x
    x = 58,994,296.21/8,198.36
  6. Step 6: Final answer
    x = 7,195.86

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