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Finding the Fourth Proportional to 10,211.94, 14,067.34 and 8,694.62

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Solution

The fourth proportional to 10,211.94, 14,067.34 and 8,694.62 is: 11,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.94 : 14,067.34 = 8,694.62 : x
  2. Step 2: Convert to fraction form
    10,211.94/14,067.34 = 8,694.62/x
  3. Step 3: Cross multiply
    10,211.94x = 14,067.34 × 8,694.62
  4. Step 4: Simplify right side
    10,211.94x = 122,310,132.24
  5. Step 5: Solve for x
    x = 122,310,132.24/10,211.94
  6. Step 6: Final answer
    x = 11,977.17

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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.