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Finding the Fourth Proportional to 7,833.44, 11,736.97 and 3,879.43

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Solution

The fourth proportional to 7,833.44, 11,736.97 and 3,879.43 is: 5,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.44 : 11,736.97 = 3,879.43 : x
  2. Step 2: Convert to fraction form
    7,833.44/11,736.97 = 3,879.43/x
  3. Step 3: Cross multiply
    7,833.44x = 11,736.97 × 3,879.43
  4. Step 4: Simplify right side
    7,833.44x = 45,532,714.49
  5. Step 5: Solve for x
    x = 45,532,714.49/7,833.44
  6. Step 6: Final answer
    x = 5,812.61

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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.