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Finding the Fourth Proportional to 10,200.74, 15,305.43 and 5,578.34

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Solution

The fourth proportional to 10,200.74, 15,305.43 and 5,578.34 is: 8,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.74 : 15,305.43 = 5,578.34 : x
  2. Step 2: Convert to fraction form
    10,200.74/15,305.43 = 5,578.34/x
  3. Step 3: Cross multiply
    10,200.74x = 15,305.43 × 5,578.34
  4. Step 4: Simplify right side
    10,200.74x = 85,378,892.39
  5. Step 5: Solve for x
    x = 85,378,892.39/10,200.74
  6. Step 6: Final answer
    x = 8,369.87

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