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Finding the Fourth Proportional to 10,743.44, 14,825.95 and 5,963.38

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Solution

The fourth proportional to 10,743.44, 14,825.95 and 5,963.38 is: 8,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.44 : 14,825.95 = 5,963.38 : x
  2. Step 2: Convert to fraction form
    10,743.44/14,825.95 = 5,963.38/x
  3. Step 3: Cross multiply
    10,743.44x = 14,825.95 × 5,963.38
  4. Step 4: Simplify right side
    10,743.44x = 88,412,777.33
  5. Step 5: Solve for x
    x = 88,412,777.33/10,743.44
  6. Step 6: Final answer
    x = 8,229.47

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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.