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Finding the Fourth Proportional to 7,879.67, 11,822.89 and 2,948.68

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Solution

The fourth proportional to 7,879.67, 11,822.89 and 2,948.68 is: 4,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.67 : 11,822.89 = 2,948.68 : x
  2. Step 2: Convert to fraction form
    7,879.67/11,822.89 = 2,948.68/x
  3. Step 3: Cross multiply
    7,879.67x = 11,822.89 × 2,948.68
  4. Step 4: Simplify right side
    7,879.67x = 34,861,919.29
  5. Step 5: Solve for x
    x = 34,861,919.29/7,879.67
  6. Step 6: Final answer
    x = 4,424.29

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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.