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Finding the Fourth Proportional to 7,850.40, 11,776.64 and 2,583.68

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Solution

The fourth proportional to 7,850.40, 11,776.64 and 2,583.68 is: 3,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.40 : 11,776.64 = 2,583.68 : x
  2. Step 2: Convert to fraction form
    7,850.40/11,776.64 = 2,583.68/x
  3. Step 3: Cross multiply
    7,850.40x = 11,776.64 × 2,583.68
  4. Step 4: Simplify right side
    7,850.40x = 30,427,069.24
  5. Step 5: Solve for x
    x = 30,427,069.24/7,850.40
  6. Step 6: Final answer
    x = 3,875.86

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