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Finding the Fourth Proportional to 6,876.97, 10,306.00 and 3,748.75

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Solution

The fourth proportional to 6,876.97, 10,306.00 and 3,748.75 is: 5,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.97 : 10,306.00 = 3,748.75 : x
  2. Step 2: Convert to fraction form
    6,876.97/10,306.00 = 3,748.75/x
  3. Step 3: Cross multiply
    6,876.97x = 10,306.00 × 3,748.75
  4. Step 4: Simplify right side
    6,876.97x = 38,634,596.42
  5. Step 5: Solve for x
    x = 38,634,596.42/6,876.97
  6. Step 6: Final answer
    x = 5,617.97

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