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Finding the Fourth Proportional to 10,165.86, 15,257.61 and 5,489.94

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Solution

The fourth proportional to 10,165.86, 15,257.61 and 5,489.94 is: 8,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.86 : 15,257.61 = 5,489.94 : x
  2. Step 2: Convert to fraction form
    10,165.86/15,257.61 = 5,489.94/x
  3. Step 3: Cross multiply
    10,165.86x = 15,257.61 × 5,489.94
  4. Step 4: Simplify right side
    10,165.86x = 83,763,363.44
  5. Step 5: Solve for x
    x = 83,763,363.44/10,165.86
  6. Step 6: Final answer
    x = 8,239.67

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