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Finding the Fourth Proportional to 11,783.62, 17,671.24 and 3,884.23

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Solution

The fourth proportional to 11,783.62, 17,671.24 and 3,884.23 is: 5,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.62 : 17,671.24 = 3,884.23 : x
  2. Step 2: Convert to fraction form
    11,783.62/17,671.24 = 3,884.23/x
  3. Step 3: Cross multiply
    11,783.62x = 17,671.24 × 3,884.23
  4. Step 4: Simplify right side
    11,783.62x = 68,639,052.77
  5. Step 5: Solve for x
    x = 68,639,052.77/11,783.62
  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.