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Finding the Fourth Proportional to 7,273.92, 10,920.88 and 3,766.40

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Solution

The fourth proportional to 7,273.92, 10,920.88 and 3,766.40 is: 5,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.92 : 10,920.88 = 3,766.40 : x
  2. Step 2: Convert to fraction form
    7,273.92/10,920.88 = 3,766.40/x
  3. Step 3: Cross multiply
    7,273.92x = 10,920.88 × 3,766.40
  4. Step 4: Simplify right side
    7,273.92x = 41,132,402.43
  5. Step 5: Solve for x
    x = 41,132,402.43/7,273.92
  6. Step 6: Final answer
    x = 5,654.78

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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.