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Finding the Fourth Proportional to 10,794.40, 16,192 and 3,773.04

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Solution

The fourth proportional to 10,794.40, 16,192 and 3,773.04 is: 5,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.40 : 16,192 = 3,773.04 : x
  2. Step 2: Convert to fraction form
    10,794.40/16,192 = 3,773.04/x
  3. Step 3: Cross multiply
    10,794.40x = 16,192 × 3,773.04
  4. Step 4: Simplify right side
    10,794.40x = 61,093,063.68
  5. Step 5: Solve for x
    x = 61,093,063.68/10,794.40
  6. Step 6: Final answer
    x = 5,659.70

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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.