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Finding the Fourth Proportional to 11,786.94, 16,265.97 and 6,481.76

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Solution

The fourth proportional to 11,786.94, 16,265.97 and 6,481.76 is: 8,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.94 : 16,265.97 = 6,481.76 : x
  2. Step 2: Convert to fraction form
    11,786.94/16,265.97 = 6,481.76/x
  3. Step 3: Cross multiply
    11,786.94x = 16,265.97 × 6,481.76
  4. Step 4: Simplify right side
    11,786.94x = 105,432,032.38
  5. Step 5: Solve for x
    x = 105,432,032.38/11,786.94
  6. Step 6: Final answer
    x = 8,944.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.