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Finding the Fourth Proportional to 8,262.05, 12,393 and 2,022.09

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Solution

The fourth proportional to 8,262.05, 12,393 and 2,022.09 is: 3,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.05 : 12,393 = 2,022.09 : x
  2. Step 2: Convert to fraction form
    8,262.05/12,393 = 2,022.09/x
  3. Step 3: Cross multiply
    8,262.05x = 12,393 × 2,022.09
  4. Step 4: Simplify right side
    8,262.05x = 25,059,749.75
  5. Step 5: Solve for x
    x = 25,059,749.75/8,262.05
  6. Step 6: Final answer
    x = 3,033.12

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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.