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Finding the Fourth Proportional to 11,786.42, 16,265.86 and 6,481.94

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Solution

The fourth proportional to 11,786.42, 16,265.86 and 6,481.94 is: 8,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.42 : 16,265.86 = 6,481.94 : x
  2. Step 2: Convert to fraction form
    11,786.42/16,265.86 = 6,481.94/x
  3. Step 3: Cross multiply
    11,786.42x = 16,265.86 × 6,481.94
  4. Step 4: Simplify right side
    11,786.42x = 105,434,328.57
  5. Step 5: Solve for x
    x = 105,434,328.57/11,786.42
  6. Step 6: Final answer
    x = 8,945.41

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