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Finding the Fourth Proportional to 7,694.92, 11,538.27 and 3,993.42

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Solution

The fourth proportional to 7,694.92, 11,538.27 and 3,993.42 is: 5,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.92 : 11,538.27 = 3,993.42 : x
  2. Step 2: Convert to fraction form
    7,694.92/11,538.27 = 3,993.42/x
  3. Step 3: Cross multiply
    7,694.92x = 11,538.27 × 3,993.42
  4. Step 4: Simplify right side
    7,694.92x = 46,077,158.18
  5. Step 5: Solve for x
    x = 46,077,158.18/7,694.92
  6. Step 6: Final answer
    x = 5,988.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.