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Finding the Fourth Proportional to 8,198.30, 11,314.13 and 6,205.70

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Solution

The fourth proportional to 8,198.30, 11,314.13 and 6,205.70 is: 8,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.30 : 11,314.13 = 6,205.70 : x
  2. Step 2: Convert to fraction form
    8,198.30/11,314.13 = 6,205.70/x
  3. Step 3: Cross multiply
    8,198.30x = 11,314.13 × 6,205.70
  4. Step 4: Simplify right side
    8,198.30x = 70,212,008.94
  5. Step 5: Solve for x
    x = 70,212,008.94/8,198.30
  6. Step 6: Final answer
    x = 8,564.22

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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.