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Finding the Fourth Proportional to 10,961.60, 16,441.60 and 3,565.76

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Solution

The fourth proportional to 10,961.60, 16,441.60 and 3,565.76 is: 5,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.60 : 16,441.60 = 3,565.76 : x
  2. Step 2: Convert to fraction form
    10,961.60/16,441.60 = 3,565.76/x
  3. Step 3: Cross multiply
    10,961.60x = 16,441.60 × 3,565.76
  4. Step 4: Simplify right side
    10,961.60x = 58,626,799.62
  5. Step 5: Solve for x
    x = 58,626,799.62/10,961.60
  6. Step 6: Final answer
    x = 5,348.38

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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.