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Finding the Fourth Proportional to 27,940.01, 41,896.04 and 8,962.11

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Solution

The fourth proportional to 27,940.01, 41,896.04 and 8,962.11 is: 13,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.01 : 41,896.04 = 8,962.11 : x
  2. Step 2: Convert to fraction form
    27,940.01/41,896.04 = 8,962.11/x
  3. Step 3: Cross multiply
    27,940.01x = 41,896.04 × 8,962.11
  4. Step 4: Simplify right side
    27,940.01x = 375,476,874.23
  5. Step 5: Solve for x
    x = 375,476,874.23/27,940.01
  6. Step 6: Final answer
    x = 13,438.68

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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.