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Finding the Fourth Proportional to 10,694.70, 14,758.67 and 5,979.02

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Solution

The fourth proportional to 10,694.70, 14,758.67 and 5,979.02 is: 8,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.70 : 14,758.67 = 5,979.02 : x
  2. Step 2: Convert to fraction form
    10,694.70/14,758.67 = 5,979.02/x
  3. Step 3: Cross multiply
    10,694.70x = 14,758.67 × 5,979.02
  4. Step 4: Simplify right side
    10,694.70x = 88,242,324.26
  5. Step 5: Solve for x
    x = 88,242,324.26/10,694.70
  6. Step 6: Final answer
    x = 8,251.03

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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.