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Finding the Fourth Proportional to 26,211, 39,323.16 and 7,743

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Solution

The fourth proportional to 26,211, 39,323.16 and 7,743 is: 11,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,211 : 39,323.16 = 7,743 : x
  2. Step 2: Convert to fraction form
    26,211/39,323.16 = 7,743/x
  3. Step 3: Cross multiply
    26,211x = 39,323.16 × 7,743
  4. Step 4: Simplify right side
    26,211x = 304,479,227.88
  5. Step 5: Solve for x
    x = 304,479,227.88/26,211
  6. Step 6: Final answer
    x = 11,616.47

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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.