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Finding the Fourth Proportional to 7,861.91, 11,791.56 and 2,930.24

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Solution

The fourth proportional to 7,861.91, 11,791.56 and 2,930.24 is: 4,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.91 : 11,791.56 = 2,930.24 : x
  2. Step 2: Convert to fraction form
    7,861.91/11,791.56 = 2,930.24/x
  3. Step 3: Cross multiply
    7,861.91x = 11,791.56 × 2,930.24
  4. Step 4: Simplify right side
    7,861.91x = 34,552,100.77
  5. Step 5: Solve for x
    x = 34,552,100.77/7,861.91
  6. Step 6: Final answer
    x = 4,394.87

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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.