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Finding the Fourth Proportional to 11,884.41, 17,827.47 and 4,487.49

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Solution

The fourth proportional to 11,884.41, 17,827.47 and 4,487.49 is: 6,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.41 : 17,827.47 = 4,487.49 : x
  2. Step 2: Convert to fraction form
    11,884.41/17,827.47 = 4,487.49/x
  3. Step 3: Cross multiply
    11,884.41x = 17,827.47 × 4,487.49
  4. Step 4: Simplify right side
    11,884.41x = 80,000,593.35
  5. Step 5: Solve for x
    x = 80,000,593.35/11,884.41
  6. Step 6: Final answer
    x = 6,731.56

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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.