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Finding the Fourth Proportional to 10,256.81, 15,387.64 and 3,683.66

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Solution

The fourth proportional to 10,256.81, 15,387.64 and 3,683.66 is: 5,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.81 : 15,387.64 = 3,683.66 : x
  2. Step 2: Convert to fraction form
    10,256.81/15,387.64 = 3,683.66/x
  3. Step 3: Cross multiply
    10,256.81x = 15,387.64 × 3,683.66
  4. Step 4: Simplify right side
    10,256.81x = 56,682,747.82
  5. Step 5: Solve for x
    x = 56,682,747.82/10,256.81
  6. Step 6: Final answer
    x = 5,526.36

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