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Finding the Fourth Proportional to 7,838.52, 11,750.49 and 2,640.75

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Solution

The fourth proportional to 7,838.52, 11,750.49 and 2,640.75 is: 3,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.52 : 11,750.49 = 2,640.75 : x
  2. Step 2: Convert to fraction form
    7,838.52/11,750.49 = 2,640.75/x
  3. Step 3: Cross multiply
    7,838.52x = 11,750.49 × 2,640.75
  4. Step 4: Simplify right side
    7,838.52x = 31,030,106.47
  5. Step 5: Solve for x
    x = 31,030,106.47/7,838.52
  6. Step 6: Final answer
    x = 3,958.67

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