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Finding the Fourth Proportional to 7,198.36, 10,794.81 and 2,815.27

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Solution

The fourth proportional to 7,198.36, 10,794.81 and 2,815.27 is: 4,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.36 : 10,794.81 = 2,815.27 : x
  2. Step 2: Convert to fraction form
    7,198.36/10,794.81 = 2,815.27/x
  3. Step 3: Cross multiply
    7,198.36x = 10,794.81 × 2,815.27
  4. Step 4: Simplify right side
    7,198.36x = 30,390,304.75
  5. Step 5: Solve for x
    x = 30,390,304.75/7,198.36
  6. Step 6: Final answer
    x = 4,221.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.