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Finding the Fourth Proportional to 7,793.40, 11,694.01 and 3,633.73

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Solution

The fourth proportional to 7,793.40, 11,694.01 and 3,633.73 is: 5,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.40 : 11,694.01 = 3,633.73 : x
  2. Step 2: Convert to fraction form
    7,793.40/11,694.01 = 3,633.73/x
  3. Step 3: Cross multiply
    7,793.40x = 11,694.01 × 3,633.73
  4. Step 4: Simplify right side
    7,793.40x = 42,492,856.79
  5. Step 5: Solve for x
    x = 42,492,856.79/7,793.40
  6. Step 6: Final answer
    x = 5,452.42

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Why These Related Problems?

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