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Finding the Fourth Proportional to 10,066.91, 13,866.26 and 8,471.61

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Solution

The fourth proportional to 10,066.91, 13,866.26 and 8,471.61 is: 11,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.91 : 13,866.26 = 8,471.61 : x
  2. Step 2: Convert to fraction form
    10,066.91/13,866.26 = 8,471.61/x
  3. Step 3: Cross multiply
    10,066.91x = 13,866.26 × 8,471.61
  4. Step 4: Simplify right side
    10,066.91x = 117,469,504.52
  5. Step 5: Solve for x
    x = 117,469,504.52/10,066.91
  6. Step 6: Final answer
    x = 11,668.88

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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.