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Finding the Fourth Proportional to 8,198.52, 11,286.59 and 7,821.92

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Solution

The fourth proportional to 8,198.52, 11,286.59 and 7,821.92 is: 10,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.52 : 11,286.59 = 7,821.92 : x
  2. Step 2: Convert to fraction form
    8,198.52/11,286.59 = 7,821.92/x
  3. Step 3: Cross multiply
    8,198.52x = 11,286.59 × 7,821.92
  4. Step 4: Simplify right side
    8,198.52x = 88,282,804.05
  5. Step 5: Solve for x
    x = 88,282,804.05/8,198.52
  6. Step 6: Final answer
    x = 10,768.14

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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.