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Finding the Fourth Proportional to 6,576.82, 9,871.53 and 4,116.58

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Solution

The fourth proportional to 6,576.82, 9,871.53 and 4,116.58 is: 6,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.82 : 9,871.53 = 4,116.58 : x
  2. Step 2: Convert to fraction form
    6,576.82/9,871.53 = 4,116.58/x
  3. Step 3: Cross multiply
    6,576.82x = 9,871.53 × 4,116.58
  4. Step 4: Simplify right side
    6,576.82x = 40,636,942.97
  5. Step 5: Solve for x
    x = 40,636,942.97/6,576.82
  6. Step 6: Final answer
    x = 6,178.81

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