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Finding the Fourth Proportional to 11,776.62, 17,667.12 and 3,879.58

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Solution

The fourth proportional to 11,776.62, 17,667.12 and 3,879.58 is: 5,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.62 : 17,667.12 = 3,879.58 : x
  2. Step 2: Convert to fraction form
    11,776.62/17,667.12 = 3,879.58/x
  3. Step 3: Cross multiply
    11,776.62x = 17,667.12 × 3,879.58
  4. Step 4: Simplify right side
    11,776.62x = 68,541,005.41
  5. Step 5: Solve for x
    x = 68,541,005.41/11,776.62
  6. Step 6: Final answer
    x = 5,820.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.