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Finding the Fourth Proportional to 7,806.92, 11,714.96 and 2,879.99

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Solution

The fourth proportional to 7,806.92, 11,714.96 and 2,879.99 is: 4,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.92 : 11,714.96 = 2,879.99 : x
  2. Step 2: Convert to fraction form
    7,806.92/11,714.96 = 2,879.99/x
  3. Step 3: Cross multiply
    7,806.92x = 11,714.96 × 2,879.99
  4. Step 4: Simplify right side
    7,806.92x = 33,738,967.65
  5. Step 5: Solve for x
    x = 33,738,967.65/7,806.92
  6. Step 6: Final answer
    x = 4,321.67

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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.