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Finding the Fourth Proportional to 11,167, 16,755.62 and 4,843.81

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Solution

The fourth proportional to 11,167, 16,755.62 and 4,843.81 is: 7,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167 : 16,755.62 = 4,843.81 : x
  2. Step 2: Convert to fraction form
    11,167/16,755.62 = 4,843.81/x
  3. Step 3: Cross multiply
    11,167x = 16,755.62 × 4,843.81
  4. Step 4: Simplify right side
    11,167x = 81,161,039.71
  5. Step 5: Solve for x
    x = 81,161,039.71/11,167
  6. Step 6: Final answer
    x = 7,267.94

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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.