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Finding the Fourth Proportional to 11,806.66, 16,291.46 and 6,771.09

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Solution

The fourth proportional to 11,806.66, 16,291.46 and 6,771.09 is: 9,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.66 : 16,291.46 = 6,771.09 : x
  2. Step 2: Convert to fraction form
    11,806.66/16,291.46 = 6,771.09/x
  3. Step 3: Cross multiply
    11,806.66x = 16,291.46 × 6,771.09
  4. Step 4: Simplify right side
    11,806.66x = 110,311,019.91
  5. Step 5: Solve for x
    x = 110,311,019.91/11,806.66
  6. Step 6: Final answer
    x = 9,343.12

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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.