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Finding the Fourth Proportional to 6,964.05, 10,454.97 and 5,983.14

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Solution

The fourth proportional to 6,964.05, 10,454.97 and 5,983.14 is: 8,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.05 : 10,454.97 = 5,983.14 : x
  2. Step 2: Convert to fraction form
    6,964.05/10,454.97 = 5,983.14/x
  3. Step 3: Cross multiply
    6,964.05x = 10,454.97 × 5,983.14
  4. Step 4: Simplify right side
    6,964.05x = 62,553,496.93
  5. Step 5: Solve for x
    x = 62,553,496.93/6,964.05
  6. Step 6: Final answer
    x = 8,982.35

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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.