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Finding the Fourth Proportional to 7,082.33, 9,767.66 and 5,965.88

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Solution

The fourth proportional to 7,082.33, 9,767.66 and 5,965.88 is: 8,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.33 : 9,767.66 = 5,965.88 : x
  2. Step 2: Convert to fraction form
    7,082.33/9,767.66 = 5,965.88/x
  3. Step 3: Cross multiply
    7,082.33x = 9,767.66 × 5,965.88
  4. Step 4: Simplify right side
    7,082.33x = 58,272,608.77
  5. Step 5: Solve for x
    x = 58,272,608.77/7,082.33
  6. Step 6: Final answer
    x = 8,227.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.