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Finding the Fourth Proportional to 10,930.64, 16,408.12 and 5,664.24

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Solution

The fourth proportional to 10,930.64, 16,408.12 and 5,664.24 is: 8,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.64 : 16,408.12 = 5,664.24 : x
  2. Step 2: Convert to fraction form
    10,930.64/16,408.12 = 5,664.24/x
  3. Step 3: Cross multiply
    10,930.64x = 16,408.12 × 5,664.24
  4. Step 4: Simplify right side
    10,930.64x = 92,939,529.63
  5. Step 5: Solve for x
    x = 92,939,529.63/10,930.64
  6. Step 6: Final answer
    x = 8,502.66

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