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Finding the Fourth Proportional to 10,678.64, 16,020.36 and 3,283.76

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Solution

The fourth proportional to 10,678.64, 16,020.36 and 3,283.76 is: 4,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.64 : 16,020.36 = 3,283.76 : x
  2. Step 2: Convert to fraction form
    10,678.64/16,020.36 = 3,283.76/x
  3. Step 3: Cross multiply
    10,678.64x = 16,020.36 × 3,283.76
  4. Step 4: Simplify right side
    10,678.64x = 52,607,017.35
  5. Step 5: Solve for x
    x = 52,607,017.35/10,678.64
  6. Step 6: Final answer
    x = 4,926.38

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