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Finding the Fourth Proportional to 6,786.48, 10,176.76 and 2,402.48

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Solution

The fourth proportional to 6,786.48, 10,176.76 and 2,402.48 is: 3,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.48 : 10,176.76 = 2,402.48 : x
  2. Step 2: Convert to fraction form
    6,786.48/10,176.76 = 2,402.48/x
  3. Step 3: Cross multiply
    6,786.48x = 10,176.76 × 2,402.48
  4. Step 4: Simplify right side
    6,786.48x = 24,449,462.36
  5. Step 5: Solve for x
    x = 24,449,462.36/6,786.48
  6. Step 6: Final answer
    x = 3,602.67

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