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Finding the Fourth Proportional to 10,823.74, 16,241.31 and 7,681.48

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Solution

The fourth proportional to 10,823.74, 16,241.31 and 7,681.48 is: 11,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.74 : 16,241.31 = 7,681.48 : x
  2. Step 2: Convert to fraction form
    10,823.74/16,241.31 = 7,681.48/x
  3. Step 3: Cross multiply
    10,823.74x = 16,241.31 × 7,681.48
  4. Step 4: Simplify right side
    10,823.74x = 124,757,257.34
  5. Step 5: Solve for x
    x = 124,757,257.34/10,823.74
  6. Step 6: Final answer
    x = 11,526.26

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