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Finding the Fourth Proportional to 7,163.84, 9,883.38 and 5,279.92

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Solution

The fourth proportional to 7,163.84, 9,883.38 and 5,279.92 is: 7,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.84 : 9,883.38 = 5,279.92 : x
  2. Step 2: Convert to fraction form
    7,163.84/9,883.38 = 5,279.92/x
  3. Step 3: Cross multiply
    7,163.84x = 9,883.38 × 5,279.92
  4. Step 4: Simplify right side
    7,163.84x = 52,183,455.73
  5. Step 5: Solve for x
    x = 52,183,455.73/7,163.84
  6. Step 6: Final answer
    x = 7,284.29

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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.