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Finding the Fourth Proportional to 10,843.16, 16,266.94 and 6,165.41

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Solution

The fourth proportional to 10,843.16, 16,266.94 and 6,165.41 is: 9,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.16 : 16,266.94 = 6,165.41 : x
  2. Step 2: Convert to fraction form
    10,843.16/16,266.94 = 6,165.41/x
  3. Step 3: Cross multiply
    10,843.16x = 16,266.94 × 6,165.41
  4. Step 4: Simplify right side
    10,843.16x = 100,292,257.80
  5. Step 5: Solve for x
    x = 100,292,257.80/10,843.16
  6. Step 6: Final answer
    x = 9,249.36

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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.