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Finding the Fourth Proportional to 7,879.56, 11,824.50 and 2,949.24

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Solution

The fourth proportional to 7,879.56, 11,824.50 and 2,949.24 is: 4,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.56 : 11,824.50 = 2,949.24 : x
  2. Step 2: Convert to fraction form
    7,879.56/11,824.50 = 2,949.24/x
  3. Step 3: Cross multiply
    7,879.56x = 11,824.50 × 2,949.24
  4. Step 4: Simplify right side
    7,879.56x = 34,873,288.38
  5. Step 5: Solve for x
    x = 34,873,288.38/7,879.56
  6. Step 6: Final answer
    x = 4,425.79

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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.