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Finding the Fourth Proportional to 8,198.80, 11,314.82 and 6,206.20

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Solution

The fourth proportional to 8,198.80, 11,314.82 and 6,206.20 is: 8,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.80 : 11,314.82 = 6,206.20 : x
  2. Step 2: Convert to fraction form
    8,198.80/11,314.82 = 6,206.20/x
  3. Step 3: Cross multiply
    8,198.80x = 11,314.82 × 6,206.20
  4. Step 4: Simplify right side
    8,198.80x = 70,221,948.28
  5. Step 5: Solve for x
    x = 70,221,948.28/8,198.80
  6. Step 6: Final answer
    x = 8,564.91

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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.