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Finding the Fourth Proportional to 7,664.64, 11,500.16 and 4,201.44

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Solution

The fourth proportional to 7,664.64, 11,500.16 and 4,201.44 is: 6,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.64 : 11,500.16 = 4,201.44 : x
  2. Step 2: Convert to fraction form
    7,664.64/11,500.16 = 4,201.44/x
  3. Step 3: Cross multiply
    7,664.64x = 11,500.16 × 4,201.44
  4. Step 4: Simplify right side
    7,664.64x = 48,317,232.23
  5. Step 5: Solve for x
    x = 48,317,232.23/7,664.64
  6. Step 6: Final answer
    x = 6,303.91

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