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Finding the Fourth Proportional to 10,822.36, 16,223.82 and 3,892

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Solution

The fourth proportional to 10,822.36, 16,223.82 and 3,892 is: 5,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.36 : 16,223.82 = 3,892 : x
  2. Step 2: Convert to fraction form
    10,822.36/16,223.82 = 3,892/x
  3. Step 3: Cross multiply
    10,822.36x = 16,223.82 × 3,892
  4. Step 4: Simplify right side
    10,822.36x = 63,143,107.44
  5. Step 5: Solve for x
    x = 63,143,107.44/10,822.36
  6. Step 6: Final answer
    x = 5,834.50

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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.