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Finding the Fourth Proportional to 11,647.28, 17,469.06 and 3,211.82

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Solution

The fourth proportional to 11,647.28, 17,469.06 and 3,211.82 is: 4,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.28 : 17,469.06 = 3,211.82 : x
  2. Step 2: Convert to fraction form
    11,647.28/17,469.06 = 3,211.82/x
  3. Step 3: Cross multiply
    11,647.28x = 17,469.06 × 3,211.82
  4. Step 4: Simplify right side
    11,647.28x = 56,107,476.29
  5. Step 5: Solve for x
    x = 56,107,476.29/11,647.28
  6. Step 6: Final answer
    x = 4,817.22

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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.