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Finding the Fourth Proportional to 7,834.75, 10,805.84 and 4,852.24

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Solution

The fourth proportional to 7,834.75, 10,805.84 and 4,852.24 is: 6,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.75 : 10,805.84 = 4,852.24 : x
  2. Step 2: Convert to fraction form
    7,834.75/10,805.84 = 4,852.24/x
  3. Step 3: Cross multiply
    7,834.75x = 10,805.84 × 4,852.24
  4. Step 4: Simplify right side
    7,834.75x = 52,432,450.79
  5. Step 5: Solve for x
    x = 52,432,450.79/7,834.75
  6. Step 6: Final answer
    x = 6,692.30

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