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Finding the Fourth Proportional to 11,757.16, 17,636.76 and 3,857.30

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Solution

The fourth proportional to 11,757.16, 17,636.76 and 3,857.30 is: 5,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.16 : 17,636.76 = 3,857.30 : x
  2. Step 2: Convert to fraction form
    11,757.16/17,636.76 = 3,857.30/x
  3. Step 3: Cross multiply
    11,757.16x = 17,636.76 × 3,857.30
  4. Step 4: Simplify right side
    11,757.16x = 68,030,255.06
  5. Step 5: Solve for x
    x = 68,030,255.06/11,757.16
  6. Step 6: Final answer
    x = 5,786.29

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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.