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Finding the Fourth Proportional to 6,857.76, 10,286.64 and 1,663.63

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Solution

The fourth proportional to 6,857.76, 10,286.64 and 1,663.63 is: 2,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.76 : 10,286.64 = 1,663.63 : x
  2. Step 2: Convert to fraction form
    6,857.76/10,286.64 = 1,663.63/x
  3. Step 3: Cross multiply
    6,857.76x = 10,286.64 × 1,663.63
  4. Step 4: Simplify right side
    6,857.76x = 17,113,162.90
  5. Step 5: Solve for x
    x = 17,113,162.90/6,857.76
  6. Step 6: Final answer
    x = 2,495.45

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