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Finding the Fourth Proportional to 7,765.86, 11,648.76 and 3,382.80

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Solution

The fourth proportional to 7,765.86, 11,648.76 and 3,382.80 is: 5,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.86 : 11,648.76 = 3,382.80 : x
  2. Step 2: Convert to fraction form
    7,765.86/11,648.76 = 3,382.80/x
  3. Step 3: Cross multiply
    7,765.86x = 11,648.76 × 3,382.80
  4. Step 4: Simplify right side
    7,765.86x = 39,405,425.33
  5. Step 5: Solve for x
    x = 39,405,425.33/7,765.86
  6. Step 6: Final answer
    x = 5,074.19

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