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Finding the Fourth Proportional to 8,192.38, 11,305 and 4,836.26

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Solution

The fourth proportional to 8,192.38, 11,305 and 4,836.26 is: 6,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.38 : 11,305 = 4,836.26 : x
  2. Step 2: Convert to fraction form
    8,192.38/11,305 = 4,836.26/x
  3. Step 3: Cross multiply
    8,192.38x = 11,305 × 4,836.26
  4. Step 4: Simplify right side
    8,192.38x = 54,673,919.30
  5. Step 5: Solve for x
    x = 54,673,919.30/8,192.38
  6. Step 6: Final answer
    x = 6,673.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.