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Finding the Fourth Proportional to 7,861.34, 11,791.74 and 2,667.26

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Solution

The fourth proportional to 7,861.34, 11,791.74 and 2,667.26 is: 4,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.34 : 11,791.74 = 2,667.26 : x
  2. Step 2: Convert to fraction form
    7,861.34/11,791.74 = 2,667.26/x
  3. Step 3: Cross multiply
    7,861.34x = 11,791.74 × 2,667.26
  4. Step 4: Simplify right side
    7,861.34x = 31,451,636.43
  5. Step 5: Solve for x
    x = 31,451,636.43/7,861.34
  6. Step 6: Final answer
    x = 4,000.80

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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.