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Finding the Fourth Proportional to 10,574.26, 15,849.39 and 8,216.74

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Solution

The fourth proportional to 10,574.26, 15,849.39 and 8,216.74 is: 12,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.26 : 15,849.39 = 8,216.74 : x
  2. Step 2: Convert to fraction form
    10,574.26/15,849.39 = 8,216.74/x
  3. Step 3: Cross multiply
    10,574.26x = 15,849.39 × 8,216.74
  4. Step 4: Simplify right side
    10,574.26x = 130,230,316.79
  5. Step 5: Solve for x
    x = 130,230,316.79/10,574.26
  6. Step 6: Final answer
    x = 12,315.79

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