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Finding the Fourth Proportional to 10,522.80, 15,763.40 and 6,827.60

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Solution

The fourth proportional to 10,522.80, 15,763.40 and 6,827.60 is: 10,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.80 : 15,763.40 = 6,827.60 : x
  2. Step 2: Convert to fraction form
    10,522.80/15,763.40 = 6,827.60/x
  3. Step 3: Cross multiply
    10,522.80x = 15,763.40 × 6,827.60
  4. Step 4: Simplify right side
    10,522.80x = 107,626,189.84
  5. Step 5: Solve for x
    x = 107,626,189.84/10,522.80
  6. Step 6: Final answer
    x = 10,227.90

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