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Finding the Fourth Proportional to 7,194.42, 10,793.05 and 2,265.57

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Solution

The fourth proportional to 7,194.42, 10,793.05 and 2,265.57 is: 3,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.42 : 10,793.05 = 2,265.57 : x
  2. Step 2: Convert to fraction form
    7,194.42/10,793.05 = 2,265.57/x
  3. Step 3: Cross multiply
    7,194.42x = 10,793.05 × 2,265.57
  4. Step 4: Simplify right side
    7,194.42x = 24,452,404.62
  5. Step 5: Solve for x
    x = 24,452,404.62/7,194.42
  6. Step 6: Final answer
    x = 3,398.80

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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.