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Finding the Fourth Proportional to 10,694.24, 14,757.94 and 5,914.52

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Solution

The fourth proportional to 10,694.24, 14,757.94 and 5,914.52 is: 8,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.24 : 14,757.94 = 5,914.52 : x
  2. Step 2: Convert to fraction form
    10,694.24/14,757.94 = 5,914.52/x
  3. Step 3: Cross multiply
    10,694.24x = 14,757.94 × 5,914.52
  4. Step 4: Simplify right side
    10,694.24x = 87,286,131.29
  5. Step 5: Solve for x
    x = 87,286,131.29/10,694.24
  6. Step 6: Final answer
    x = 8,161.98

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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.