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Finding the Fourth Proportional to 11,786.34, 16,265.14 and 6,481.52

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Solution

The fourth proportional to 11,786.34, 16,265.14 and 6,481.52 is: 8,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.34 : 16,265.14 = 6,481.52 : x
  2. Step 2: Convert to fraction form
    11,786.34/16,265.14 = 6,481.52/x
  3. Step 3: Cross multiply
    11,786.34x = 16,265.14 × 6,481.52
  4. Step 4: Simplify right side
    11,786.34x = 105,422,830.21
  5. Step 5: Solve for x
    x = 105,422,830.21/11,786.34
  6. Step 6: Final answer
    x = 8,944.49

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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.