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Finding the Fourth Proportional to 11,294.92, 16,920.48 and 6,349.48

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Solution

The fourth proportional to 11,294.92, 16,920.48 and 6,349.48 is: 9,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.92 : 16,920.48 = 6,349.48 : x
  2. Step 2: Convert to fraction form
    11,294.92/16,920.48 = 6,349.48/x
  3. Step 3: Cross multiply
    11,294.92x = 16,920.48 × 6,349.48
  4. Step 4: Simplify right side
    11,294.92x = 107,436,249.35
  5. Step 5: Solve for x
    x = 107,436,249.35/11,294.92
  6. Step 6: Final answer
    x = 9,511.91

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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.