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Finding the Fourth Proportional to 11,806.62, 16,293.20 and 6,771.03

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Solution

The fourth proportional to 11,806.62, 16,293.20 and 6,771.03 is: 9,344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.62 : 16,293.20 = 6,771.03 : x
  2. Step 2: Convert to fraction form
    11,806.62/16,293.20 = 6,771.03/x
  3. Step 3: Cross multiply
    11,806.62x = 16,293.20 × 6,771.03
  4. Step 4: Simplify right side
    11,806.62x = 110,321,712.14
  5. Step 5: Solve for x
    x = 110,321,712.14/11,806.62
  6. Step 6: Final answer
    x = 9,344.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.