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Finding the Fourth Proportional to 7,769.40, 11,657.70 and 4,075.80

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Solution

The fourth proportional to 7,769.40, 11,657.70 and 4,075.80 is: 6,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.40 : 11,657.70 = 4,075.80 : x
  2. Step 2: Convert to fraction form
    7,769.40/11,657.70 = 4,075.80/x
  3. Step 3: Cross multiply
    7,769.40x = 11,657.70 × 4,075.80
  4. Step 4: Simplify right side
    7,769.40x = 47,514,453.66
  5. Step 5: Solve for x
    x = 47,514,453.66/7,769.40
  6. Step 6: Final answer
    x = 6,115.59

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