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Finding the Fourth Proportional to 10,288, 14,199.36 and 5,872

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Solution

The fourth proportional to 10,288, 14,199.36 and 5,872 is: 8,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288 : 14,199.36 = 5,872 : x
  2. Step 2: Convert to fraction form
    10,288/14,199.36 = 5,872/x
  3. Step 3: Cross multiply
    10,288x = 14,199.36 × 5,872
  4. Step 4: Simplify right side
    10,288x = 83,378,641.92
  5. Step 5: Solve for x
    x = 83,378,641.92/10,288
  6. Step 6: Final answer
    x = 8,104.46

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