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Finding the Fourth Proportional to 7,843.74, 10,824.33 and 4,699.92

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Solution

The fourth proportional to 7,843.74, 10,824.33 and 4,699.92 is: 6,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.74 : 10,824.33 = 4,699.92 : x
  2. Step 2: Convert to fraction form
    7,843.74/10,824.33 = 4,699.92/x
  3. Step 3: Cross multiply
    7,843.74x = 10,824.33 × 4,699.92
  4. Step 4: Simplify right side
    7,843.74x = 50,873,543.27
  5. Step 5: Solve for x
    x = 50,873,543.27/7,843.74
  6. Step 6: Final answer
    x = 6,485.88

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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.