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Finding the Fourth Proportional to 5,209.40, 7,815.47 and 1,511.97

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Solution

The fourth proportional to 5,209.40, 7,815.47 and 1,511.97 is: 2,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.40 : 7,815.47 = 1,511.97 : x
  2. Step 2: Convert to fraction form
    5,209.40/7,815.47 = 1,511.97/x
  3. Step 3: Cross multiply
    5,209.40x = 7,815.47 × 1,511.97
  4. Step 4: Simplify right side
    5,209.40x = 11,816,748.62
  5. Step 5: Solve for x
    x = 11,816,748.62/5,209.40
  6. Step 6: Final answer
    x = 2,268.35

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