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Finding the Fourth Proportional to 11,408.69, 15,743.82 and 6,372.98

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Solution

The fourth proportional to 11,408.69, 15,743.82 and 6,372.98 is: 8,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.69 : 15,743.82 = 6,372.98 : x
  2. Step 2: Convert to fraction form
    11,408.69/15,743.82 = 6,372.98/x
  3. Step 3: Cross multiply
    11,408.69x = 15,743.82 × 6,372.98
  4. Step 4: Simplify right side
    11,408.69x = 100,335,065.44
  5. Step 5: Solve for x
    x = 100,335,065.44/11,408.69
  6. Step 6: Final answer
    x = 8,794.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.