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Finding the Fourth Proportional to 7,198.34, 10,797.90 and 2,268.36

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Solution

The fourth proportional to 7,198.34, 10,797.90 and 2,268.36 is: 3,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.34 : 10,797.90 = 2,268.36 : x
  2. Step 2: Convert to fraction form
    7,198.34/10,797.90 = 2,268.36/x
  3. Step 3: Cross multiply
    7,198.34x = 10,797.90 × 2,268.36
  4. Step 4: Simplify right side
    7,198.34x = 24,493,515.94
  5. Step 5: Solve for x
    x = 24,493,515.94/7,198.34
  6. Step 6: Final answer
    x = 3,402.66

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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.