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Finding the Fourth Proportional to 6,511.82, 9,766.56 and 1,830.70

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Solution

The fourth proportional to 6,511.82, 9,766.56 and 1,830.70 is: 2,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.82 : 9,766.56 = 1,830.70 : x
  2. Step 2: Convert to fraction form
    6,511.82/9,766.56 = 1,830.70/x
  3. Step 3: Cross multiply
    6,511.82x = 9,766.56 × 1,830.70
  4. Step 4: Simplify right side
    6,511.82x = 17,879,645.02
  5. Step 5: Solve for x
    x = 17,879,645.02/6,511.82
  6. Step 6: Final answer
    x = 2,745.72

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