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Finding the Fourth Proportional to 7,469.92, 10,321.68 and 5,910.40

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Solution

The fourth proportional to 7,469.92, 10,321.68 and 5,910.40 is: 8,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.92 : 10,321.68 = 5,910.40 : x
  2. Step 2: Convert to fraction form
    7,469.92/10,321.68 = 5,910.40/x
  3. Step 3: Cross multiply
    7,469.92x = 10,321.68 × 5,910.40
  4. Step 4: Simplify right side
    7,469.92x = 61,005,257.47
  5. Step 5: Solve for x
    x = 61,005,257.47/7,469.92
  6. Step 6: Final answer
    x = 8,166.79

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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.