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Finding the Fourth Proportional to 11,757.81, 17,637.74 and 3,857.96

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Solution

The fourth proportional to 11,757.81, 17,637.74 and 3,857.96 is: 5,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.81 : 17,637.74 = 3,857.96 : x
  2. Step 2: Convert to fraction form
    11,757.81/17,637.74 = 3,857.96/x
  3. Step 3: Cross multiply
    11,757.81x = 17,637.74 × 3,857.96
  4. Step 4: Simplify right side
    11,757.81x = 68,045,587.93
  5. Step 5: Solve for x
    x = 68,045,587.93/11,757.81
  6. Step 6: Final answer
    x = 5,787.27

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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.