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Finding the Fourth Proportional to 7,822.02, 11,733.44 and 1,978.68

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Solution

The fourth proportional to 7,822.02, 11,733.44 and 1,978.68 is: 2,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.02 : 11,733.44 = 1,978.68 : x
  2. Step 2: Convert to fraction form
    7,822.02/11,733.44 = 1,978.68/x
  3. Step 3: Cross multiply
    7,822.02x = 11,733.44 × 1,978.68
  4. Step 4: Simplify right side
    7,822.02x = 23,216,723.06
  5. Step 5: Solve for x
    x = 23,216,723.06/7,822.02
  6. Step 6: Final answer
    x = 2,968.12

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