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Finding the Fourth Proportional to 5,209.82, 7,814.48 and 1,511.96

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Solution

The fourth proportional to 5,209.82, 7,814.48 and 1,511.96 is: 2,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.82 : 7,814.48 = 1,511.96 : x
  2. Step 2: Convert to fraction form
    5,209.82/7,814.48 = 1,511.96/x
  3. Step 3: Cross multiply
    5,209.82x = 7,814.48 × 1,511.96
  4. Step 4: Simplify right side
    5,209.82x = 11,815,181.18
  5. Step 5: Solve for x
    x = 11,815,181.18/5,209.82
  6. Step 6: Final answer
    x = 2,267.87

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