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Finding the Fourth Proportional to 6,788.96, 10,174.94 and 3,668.84

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Solution

The fourth proportional to 6,788.96, 10,174.94 and 3,668.84 is: 5,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.96 : 10,174.94 = 3,668.84 : x
  2. Step 2: Convert to fraction form
    6,788.96/10,174.94 = 3,668.84/x
  3. Step 3: Cross multiply
    6,788.96x = 10,174.94 × 3,668.84
  4. Step 4: Simplify right side
    6,788.96x = 37,330,208.53
  5. Step 5: Solve for x
    x = 37,330,208.53/6,788.96
  6. Step 6: Final answer
    x = 5,498.66

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