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Finding the Fourth Proportional to 7,540.14, 10,408.97 and 5,026.44

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Solution

The fourth proportional to 7,540.14, 10,408.97 and 5,026.44 is: 6,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.14 : 10,408.97 = 5,026.44 : x
  2. Step 2: Convert to fraction form
    7,540.14/10,408.97 = 5,026.44/x
  3. Step 3: Cross multiply
    7,540.14x = 10,408.97 × 5,026.44
  4. Step 4: Simplify right side
    7,540.14x = 52,320,063.17
  5. Step 5: Solve for x
    x = 52,320,063.17/7,540.14
  6. Step 6: Final answer
    x = 6,938.87

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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.