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Finding the Fourth Proportional to 7,198.96, 10,794.60 and 2,267.32

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Solution

The fourth proportional to 7,198.96, 10,794.60 and 2,267.32 is: 3,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.96 : 10,794.60 = 2,267.32 : x
  2. Step 2: Convert to fraction form
    7,198.96/10,794.60 = 2,267.32/x
  3. Step 3: Cross multiply
    7,198.96x = 10,794.60 × 2,267.32
  4. Step 4: Simplify right side
    7,198.96x = 24,474,812.47
  5. Step 5: Solve for x
    x = 24,474,812.47/7,198.96
  6. Step 6: Final answer
    x = 3,399.77

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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.