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Finding the Fourth Proportional to 27,640.80, 41,461.17 and 6,864.30

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Solution

The fourth proportional to 27,640.80, 41,461.17 and 6,864.30 is: 10,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.80 : 41,461.17 = 6,864.30 : x
  2. Step 2: Convert to fraction form
    27,640.80/41,461.17 = 6,864.30/x
  3. Step 3: Cross multiply
    27,640.80x = 41,461.17 × 6,864.30
  4. Step 4: Simplify right side
    27,640.80x = 284,601,909.23
  5. Step 5: Solve for x
    x = 284,601,909.23/27,640.80
  6. Step 6: Final answer
    x = 10,296.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.