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Finding the Fourth Proportional to 7,819.74, 10,791.27 and 4,234.74

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Solution

The fourth proportional to 7,819.74, 10,791.27 and 4,234.74 is: 5,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.74 : 10,791.27 = 4,234.74 : x
  2. Step 2: Convert to fraction form
    7,819.74/10,791.27 = 4,234.74/x
  3. Step 3: Cross multiply
    7,819.74x = 10,791.27 × 4,234.74
  4. Step 4: Simplify right side
    7,819.74x = 45,698,222.72
  5. Step 5: Solve for x
    x = 45,698,222.72/7,819.74
  6. Step 6: Final answer
    x = 5,843.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.