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Finding the Fourth Proportional to 10,241.52, 14,132.49 and 5,764.38

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Solution

The fourth proportional to 10,241.52, 14,132.49 and 5,764.38 is: 7,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.52 : 14,132.49 = 5,764.38 : x
  2. Step 2: Convert to fraction form
    10,241.52/14,132.49 = 5,764.38/x
  3. Step 3: Cross multiply
    10,241.52x = 14,132.49 × 5,764.38
  4. Step 4: Simplify right side
    10,241.52x = 81,465,042.71
  5. Step 5: Solve for x
    x = 81,465,042.71/10,241.52
  6. Step 6: Final answer
    x = 7,954.39

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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.