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Finding the Fourth Proportional to 10,211.44, 14,066.65 and 8,694.12

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Solution

The fourth proportional to 10,211.44, 14,066.65 and 8,694.12 is: 11,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.44 : 14,066.65 = 8,694.12 : x
  2. Step 2: Convert to fraction form
    10,211.44/14,066.65 = 8,694.12/x
  3. Step 3: Cross multiply
    10,211.44x = 14,066.65 × 8,694.12
  4. Step 4: Simplify right side
    10,211.44x = 122,297,121.36
  5. Step 5: Solve for x
    x = 122,297,121.36/10,211.44
  6. Step 6: Final answer
    x = 11,976.48

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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.