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Finding the Fourth Proportional to 7,857.86, 11,786.49 and 2,663.73

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Solution

The fourth proportional to 7,857.86, 11,786.49 and 2,663.73 is: 3,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.86 : 11,786.49 = 2,663.73 : x
  2. Step 2: Convert to fraction form
    7,857.86/11,786.49 = 2,663.73/x
  3. Step 3: Cross multiply
    7,857.86x = 11,786.49 × 2,663.73
  4. Step 4: Simplify right side
    7,857.86x = 31,396,027.01
  5. Step 5: Solve for x
    x = 31,396,027.01/7,857.86
  6. Step 6: Final answer
    x = 3,995.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.