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Finding the Fourth Proportional to 11,778.96, 17,671.48 and 3,882.64

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Solution

The fourth proportional to 11,778.96, 17,671.48 and 3,882.64 is: 5,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.96 : 17,671.48 = 3,882.64 : x
  2. Step 2: Convert to fraction form
    11,778.96/17,671.48 = 3,882.64/x
  3. Step 3: Cross multiply
    11,778.96x = 17,671.48 × 3,882.64
  4. Step 4: Simplify right side
    11,778.96x = 68,611,995.11
  5. Step 5: Solve for x
    x = 68,611,995.11/11,778.96
  6. Step 6: Final answer
    x = 5,824.96

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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.