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Finding the Fourth Proportional to 10,975.84, 16,462.06 and 3,580.24

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Solution

The fourth proportional to 10,975.84, 16,462.06 and 3,580.24 is: 5,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.84 : 16,462.06 = 3,580.24 : x
  2. Step 2: Convert to fraction form
    10,975.84/16,462.06 = 3,580.24/x
  3. Step 3: Cross multiply
    10,975.84x = 16,462.06 × 3,580.24
  4. Step 4: Simplify right side
    10,975.84x = 58,938,125.69
  5. Step 5: Solve for x
    x = 58,938,125.69/10,975.84
  6. Step 6: Final answer
    x = 5,369.81

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