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Finding the Fourth Proportional to 11,471.36, 17,213.30 and 4,451.64

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Solution

The fourth proportional to 11,471.36, 17,213.30 and 4,451.64 is: 6,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.36 : 17,213.30 = 4,451.64 : x
  2. Step 2: Convert to fraction form
    11,471.36/17,213.30 = 4,451.64/x
  3. Step 3: Cross multiply
    11,471.36x = 17,213.30 × 4,451.64
  4. Step 4: Simplify right side
    11,471.36x = 76,627,473.80
  5. Step 5: Solve for x
    x = 76,627,473.80/11,471.36
  6. Step 6: Final answer
    x = 6,679.90

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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.