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Finding the Fourth Proportional to 27,311, 40,973 and 8,843

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Solution

The fourth proportional to 27,311, 40,973 and 8,843 is: 13,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311 : 40,973 = 8,843 : x
  2. Step 2: Convert to fraction form
    27,311/40,973 = 8,843/x
  3. Step 3: Cross multiply
    27,311x = 40,973 × 8,843
  4. Step 4: Simplify right side
    27,311x = 362,324,239
  5. Step 5: Solve for x
    x = 362,324,239/27,311
  6. Step 6: Final answer
    x = 13,266.60

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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.