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Finding the Fourth Proportional to 6,942.70, 10,416.89 and 3,658.69

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Solution

The fourth proportional to 6,942.70, 10,416.89 and 3,658.69 is: 5,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.70 : 10,416.89 = 3,658.69 : x
  2. Step 2: Convert to fraction form
    6,942.70/10,416.89 = 3,658.69/x
  3. Step 3: Cross multiply
    6,942.70x = 10,416.89 × 3,658.69
  4. Step 4: Simplify right side
    6,942.70x = 38,112,171.27
  5. Step 5: Solve for x
    x = 38,112,171.27/6,942.70
  6. Step 6: Final answer
    x = 5,489.53

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