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Finding the Fourth Proportional to 11,837.14, 17,757.52 and 4,044.12

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Solution

The fourth proportional to 11,837.14, 17,757.52 and 4,044.12 is: 6,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.14 : 17,757.52 = 4,044.12 : x
  2. Step 2: Convert to fraction form
    11,837.14/17,757.52 = 4,044.12/x
  3. Step 3: Cross multiply
    11,837.14x = 17,757.52 × 4,044.12
  4. Step 4: Simplify right side
    11,837.14x = 71,813,541.78
  5. Step 5: Solve for x
    x = 71,813,541.78/11,837.14
  6. Step 6: Final answer
    x = 6,066.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.