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Finding the Fourth Proportional to 11,873.97, 16,386.25 and 6,839.09

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Solution

The fourth proportional to 11,873.97, 16,386.25 and 6,839.09 is: 9,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.97 : 16,386.25 = 6,839.09 : x
  2. Step 2: Convert to fraction form
    11,873.97/16,386.25 = 6,839.09/x
  3. Step 3: Cross multiply
    11,873.97x = 16,386.25 × 6,839.09
  4. Step 4: Simplify right side
    11,873.97x = 112,066,939.48
  5. Step 5: Solve for x
    x = 112,066,939.48/11,873.97
  6. Step 6: Final answer
    x = 9,438.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.