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Finding the Fourth Proportional to 7,838.29, 11,748.16 and 3,446.56

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Solution

The fourth proportional to 7,838.29, 11,748.16 and 3,446.56 is: 5,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.29 : 11,748.16 = 3,446.56 : x
  2. Step 2: Convert to fraction form
    7,838.29/11,748.16 = 3,446.56/x
  3. Step 3: Cross multiply
    7,838.29x = 11,748.16 × 3,446.56
  4. Step 4: Simplify right side
    7,838.29x = 40,490,738.33
  5. Step 5: Solve for x
    x = 40,490,738.33/7,838.29
  6. Step 6: Final answer
    x = 5,165.76

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