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Finding the Fourth Proportional to 7,843.69, 10,824.26 and 4,306.92

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Solution

The fourth proportional to 7,843.69, 10,824.26 and 4,306.92 is: 5,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.69 : 10,824.26 = 4,306.92 : x
  2. Step 2: Convert to fraction form
    7,843.69/10,824.26 = 4,306.92/x
  3. Step 3: Cross multiply
    7,843.69x = 10,824.26 × 4,306.92
  4. Step 4: Simplify right side
    7,843.69x = 46,619,221.88
  5. Step 5: Solve for x
    x = 46,619,221.88/7,843.69
  6. Step 6: Final answer
    x = 5,943.53

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