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Finding the Fourth Proportional to 7,861.43, 11,791.25 and 2,931.23

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Solution

The fourth proportional to 7,861.43, 11,791.25 and 2,931.23 is: 4,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.43 : 11,791.25 = 2,931.23 : x
  2. Step 2: Convert to fraction form
    7,861.43/11,791.25 = 2,931.23/x
  3. Step 3: Cross multiply
    7,861.43x = 11,791.25 × 2,931.23
  4. Step 4: Simplify right side
    7,861.43x = 34,562,865.74
  5. Step 5: Solve for x
    x = 34,562,865.74/7,861.43
  6. Step 6: Final answer
    x = 4,396.51

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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.