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Finding the Fourth Proportional to 11,912.49, 17,869.37 and 3,147.17

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Solution

The fourth proportional to 11,912.49, 17,869.37 and 3,147.17 is: 4,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.49 : 17,869.37 = 3,147.17 : x
  2. Step 2: Convert to fraction form
    11,912.49/17,869.37 = 3,147.17/x
  3. Step 3: Cross multiply
    11,912.49x = 17,869.37 × 3,147.17
  4. Step 4: Simplify right side
    11,912.49x = 56,237,840.10
  5. Step 5: Solve for x
    x = 56,237,840.10/11,912.49
  6. Step 6: Final answer
    x = 4,720.91

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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.