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Finding the Fourth Proportional to 7,900.92, 11,826.72 and 5,823.27

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Solution

The fourth proportional to 7,900.92, 11,826.72 and 5,823.27 is: 8,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.92 : 11,826.72 = 5,823.27 : x
  2. Step 2: Convert to fraction form
    7,900.92/11,826.72 = 5,823.27/x
  3. Step 3: Cross multiply
    7,900.92x = 11,826.72 × 5,823.27
  4. Step 4: Simplify right side
    7,900.92x = 68,870,183.77
  5. Step 5: Solve for x
    x = 68,870,183.77/7,900.92
  6. Step 6: Final answer
    x = 8,716.73

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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.