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Finding the Fourth Proportional to 7,930.68, 11,896.22 and 2,665.77

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Solution

The fourth proportional to 7,930.68, 11,896.22 and 2,665.77 is: 3,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.68 : 11,896.22 = 2,665.77 : x
  2. Step 2: Convert to fraction form
    7,930.68/11,896.22 = 2,665.77/x
  3. Step 3: Cross multiply
    7,930.68x = 11,896.22 × 2,665.77
  4. Step 4: Simplify right side
    7,930.68x = 31,712,586.39
  5. Step 5: Solve for x
    x = 31,712,586.39/7,930.68
  6. Step 6: Final answer
    x = 3,998.72

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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.