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Finding the Fourth Proportional to 10,658.62, 14,706.66 and 5,942.80

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Solution

The fourth proportional to 10,658.62, 14,706.66 and 5,942.80 is: 8,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.62 : 14,706.66 = 5,942.80 : x
  2. Step 2: Convert to fraction form
    10,658.62/14,706.66 = 5,942.80/x
  3. Step 3: Cross multiply
    10,658.62x = 14,706.66 × 5,942.80
  4. Step 4: Simplify right side
    10,658.62x = 87,398,739.05
  5. Step 5: Solve for x
    x = 87,398,739.05/10,658.62
  6. Step 6: Final answer
    x = 8,199.82

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