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Finding the Fourth Proportional to 11,626.78, 17,438.30 and 3,191.31

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Solution

The fourth proportional to 11,626.78, 17,438.30 and 3,191.31 is: 4,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.78 : 17,438.30 = 3,191.31 : x
  2. Step 2: Convert to fraction form
    11,626.78/17,438.30 = 3,191.31/x
  3. Step 3: Cross multiply
    11,626.78x = 17,438.30 × 3,191.31
  4. Step 4: Simplify right side
    11,626.78x = 55,651,064.77
  5. Step 5: Solve for x
    x = 55,651,064.77/11,626.78
  6. Step 6: Final answer
    x = 4,786.46

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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.