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Finding the Fourth Proportional to 10,754.87, 14,843.93 and 6,773.31

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Solution

The fourth proportional to 10,754.87, 14,843.93 and 6,773.31 is: 9,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.87 : 14,843.93 = 6,773.31 : x
  2. Step 2: Convert to fraction form
    10,754.87/14,843.93 = 6,773.31/x
  3. Step 3: Cross multiply
    10,754.87x = 14,843.93 × 6,773.31
  4. Step 4: Simplify right side
    10,754.87x = 100,542,505.64
  5. Step 5: Solve for x
    x = 100,542,505.64/10,754.87
  6. Step 6: Final answer
    x = 9,348.56

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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.