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Finding the Fourth Proportional to 8,923, 12,260.46 and 8,347.09

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Solution

The fourth proportional to 8,923, 12,260.46 and 8,347.09 is: 11,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923 : 12,260.46 = 8,347.09 : x
  2. Step 2: Convert to fraction form
    8,923/12,260.46 = 8,347.09/x
  3. Step 3: Cross multiply
    8,923x = 12,260.46 × 8,347.09
  4. Step 4: Simplify right side
    8,923x = 102,339,163.06
  5. Step 5: Solve for x
    x = 102,339,163.06/8,923
  6. Step 6: Final answer
    x = 11,469.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.