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Finding the Fourth Proportional to 7,859.50, 11,789.39 and 2,665.51

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Solution

The fourth proportional to 7,859.50, 11,789.39 and 2,665.51 is: 3,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.50 : 11,789.39 = 2,665.51 : x
  2. Step 2: Convert to fraction form
    7,859.50/11,789.39 = 2,665.51/x
  3. Step 3: Cross multiply
    7,859.50x = 11,789.39 × 2,665.51
  4. Step 4: Simplify right side
    7,859.50x = 31,424,736.94
  5. Step 5: Solve for x
    x = 31,424,736.94/7,859.50
  6. Step 6: Final answer
    x = 3,998.31

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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.