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Finding the Fourth Proportional to 11,408.38, 17,105.16 and 7,500.94

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Solution

The fourth proportional to 11,408.38, 17,105.16 and 7,500.94 is: 11,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.38 : 17,105.16 = 7,500.94 : x
  2. Step 2: Convert to fraction form
    11,408.38/17,105.16 = 7,500.94/x
  3. Step 3: Cross multiply
    11,408.38x = 17,105.16 × 7,500.94
  4. Step 4: Simplify right side
    11,408.38x = 128,304,778.85
  5. Step 5: Solve for x
    x = 128,304,778.85/11,408.38
  6. Step 6: Final answer
    x = 11,246.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.