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Finding the Fourth Proportional to 10,652.49, 15,978.72 and 5,724.45

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Solution

The fourth proportional to 10,652.49, 15,978.72 and 5,724.45 is: 8,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.49 : 15,978.72 = 5,724.45 : x
  2. Step 2: Convert to fraction form
    10,652.49/15,978.72 = 5,724.45/x
  3. Step 3: Cross multiply
    10,652.49x = 15,978.72 × 5,724.45
  4. Step 4: Simplify right side
    10,652.49x = 91,469,383.70
  5. Step 5: Solve for x
    x = 91,469,383.70/10,652.49
  6. Step 6: Final answer
    x = 8,586.67

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