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Finding the Fourth Proportional to 7,578.46, 11,367.99 and 3,879.70

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Solution

The fourth proportional to 7,578.46, 11,367.99 and 3,879.70 is: 5,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.46 : 11,367.99 = 3,879.70 : x
  2. Step 2: Convert to fraction form
    7,578.46/11,367.99 = 3,879.70/x
  3. Step 3: Cross multiply
    7,578.46x = 11,367.99 × 3,879.70
  4. Step 4: Simplify right side
    7,578.46x = 44,104,343.66
  5. Step 5: Solve for x
    x = 44,104,343.66/7,578.46
  6. Step 6: Final answer
    x = 5,819.70

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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.