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Finding the Fourth Proportional to 7,861.56, 11,791.24 and 2,666.76

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Solution

The fourth proportional to 7,861.56, 11,791.24 and 2,666.76 is: 3,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.56 : 11,791.24 = 2,666.76 : x
  2. Step 2: Convert to fraction form
    7,861.56/11,791.24 = 2,666.76/x
  3. Step 3: Cross multiply
    7,861.56x = 11,791.24 × 2,666.76
  4. Step 4: Simplify right side
    7,861.56x = 31,444,407.18
  5. Step 5: Solve for x
    x = 31,444,407.18/7,861.56
  6. Step 6: Final answer
    x = 3,999.77

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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.