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Finding the Fourth Proportional to 10,231.44, 14,116.78 and 7,843.80

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Solution

The fourth proportional to 10,231.44, 14,116.78 and 7,843.80 is: 10,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.44 : 14,116.78 = 7,843.80 : x
  2. Step 2: Convert to fraction form
    10,231.44/14,116.78 = 7,843.80/x
  3. Step 3: Cross multiply
    10,231.44x = 14,116.78 × 7,843.80
  4. Step 4: Simplify right side
    10,231.44x = 110,729,198.96
  5. Step 5: Solve for x
    x = 110,729,198.96/10,231.44
  6. Step 6: Final answer
    x = 10,822.45

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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.