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Finding the Fourth Proportional to 10,517.64, 15,786.72 and 4,678.08

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Solution

The fourth proportional to 10,517.64, 15,786.72 and 4,678.08 is: 7,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.64 : 15,786.72 = 4,678.08 : x
  2. Step 2: Convert to fraction form
    10,517.64/15,786.72 = 4,678.08/x
  3. Step 3: Cross multiply
    10,517.64x = 15,786.72 × 4,678.08
  4. Step 4: Simplify right side
    10,517.64x = 73,851,539.10
  5. Step 5: Solve for x
    x = 73,851,539.10/10,517.64
  6. Step 6: Final answer
    x = 7,021.68

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