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Finding the Fourth Proportional to 11,447.57, 17,173.82 and 3,549.92

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Solution

The fourth proportional to 11,447.57, 17,173.82 and 3,549.92 is: 5,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.57 : 17,173.82 = 3,549.92 : x
  2. Step 2: Convert to fraction form
    11,447.57/17,173.82 = 3,549.92/x
  3. Step 3: Cross multiply
    11,447.57x = 17,173.82 × 3,549.92
  4. Step 4: Simplify right side
    11,447.57x = 60,965,626.41
  5. Step 5: Solve for x
    x = 60,965,626.41/11,447.57
  6. Step 6: Final answer
    x = 5,325.64

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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.