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Finding the Fourth Proportional to 11,786.84, 16,265.42 and 6,481.62

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Solution

The fourth proportional to 11,786.84, 16,265.42 and 6,481.62 is: 8,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.84 : 16,265.42 = 6,481.62 : x
  2. Step 2: Convert to fraction form
    11,786.84/16,265.42 = 6,481.62/x
  3. Step 3: Cross multiply
    11,786.84x = 16,265.42 × 6,481.62
  4. Step 4: Simplify right side
    11,786.84x = 105,426,271.58
  5. Step 5: Solve for x
    x = 105,426,271.58/11,786.84
  6. Step 6: Final answer
    x = 8,944.41

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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.