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Finding the Fourth Proportional to 11,704.49, 16,150.29 and 6,668.78

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Solution

The fourth proportional to 11,704.49, 16,150.29 and 6,668.78 is: 9,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.49 : 16,150.29 = 6,668.78 : x
  2. Step 2: Convert to fraction form
    11,704.49/16,150.29 = 6,668.78/x
  3. Step 3: Cross multiply
    11,704.49x = 16,150.29 × 6,668.78
  4. Step 4: Simplify right side
    11,704.49x = 107,702,650.19
  5. Step 5: Solve for x
    x = 107,702,650.19/11,704.49
  6. Step 6: Final answer
    x = 9,201.83

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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.