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Finding the Fourth Proportional to 10,694.94, 14,759.46 and 5,979.21

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Solution

The fourth proportional to 10,694.94, 14,759.46 and 5,979.21 is: 8,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.94 : 14,759.46 = 5,979.21 : x
  2. Step 2: Convert to fraction form
    10,694.94/14,759.46 = 5,979.21/x
  3. Step 3: Cross multiply
    10,694.94x = 14,759.46 × 5,979.21
  4. Step 4: Simplify right side
    10,694.94x = 88,249,910.83
  5. Step 5: Solve for x
    x = 88,249,910.83/10,694.94
  6. Step 6: Final answer
    x = 8,251.56

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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.