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Finding the Fourth Proportional to 7,870.40, 11,815.20 and 7,812.80

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Solution

The fourth proportional to 7,870.40, 11,815.20 and 7,812.80 is: 11,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.40 : 11,815.20 = 7,812.80 : x
  2. Step 2: Convert to fraction form
    7,870.40/11,815.20 = 7,812.80/x
  3. Step 3: Cross multiply
    7,870.40x = 11,815.20 × 7,812.80
  4. Step 4: Simplify right side
    7,870.40x = 92,309,794.56
  5. Step 5: Solve for x
    x = 92,309,794.56/7,870.40
  6. Step 6: Final answer
    x = 11,728.73

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