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Finding the Fourth Proportional to 7,859.86, 11,789.49 and 2,665.73

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Solution

The fourth proportional to 7,859.86, 11,789.49 and 2,665.73 is: 3,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.86 : 11,789.49 = 2,665.73 : x
  2. Step 2: Convert to fraction form
    7,859.86/11,789.49 = 2,665.73/x
  3. Step 3: Cross multiply
    7,859.86x = 11,789.49 × 2,665.73
  4. Step 4: Simplify right side
    7,859.86x = 31,427,597.18
  5. Step 5: Solve for x
    x = 31,427,597.18/7,859.86
  6. Step 6: Final answer
    x = 3,998.49

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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.