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Finding the Fourth Proportional to 11,753.94, 17,631.50 and 3,857.26

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Solution

The fourth proportional to 11,753.94, 17,631.50 and 3,857.26 is: 5,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.94 : 17,631.50 = 3,857.26 : x
  2. Step 2: Convert to fraction form
    11,753.94/17,631.50 = 3,857.26/x
  3. Step 3: Cross multiply
    11,753.94x = 17,631.50 × 3,857.26
  4. Step 4: Simplify right side
    11,753.94x = 68,009,279.69
  5. Step 5: Solve for x
    x = 68,009,279.69/11,753.94
  6. Step 6: Final answer
    x = 5,786.08

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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.