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Finding the Fourth Proportional to 27,662.50, 41,495.64 and 7,939.54

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Solution

The fourth proportional to 27,662.50, 41,495.64 and 7,939.54 is: 11,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.50 : 41,495.64 = 7,939.54 : x
  2. Step 2: Convert to fraction form
    27,662.50/41,495.64 = 7,939.54/x
  3. Step 3: Cross multiply
    27,662.50x = 41,495.64 × 7,939.54
  4. Step 4: Simplify right side
    27,662.50x = 329,456,293.61
  5. Step 5: Solve for x
    x = 329,456,293.61/27,662.50
  6. Step 6: Final answer
    x = 11,909.85

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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.