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Finding the Fourth Proportional to 11,965.57, 17,952.02 and 6,126.31

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Solution

The fourth proportional to 11,965.57, 17,952.02 and 6,126.31 is: 9,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.57 : 17,952.02 = 6,126.31 : x
  2. Step 2: Convert to fraction form
    11,965.57/17,952.02 = 6,126.31/x
  3. Step 3: Cross multiply
    11,965.57x = 17,952.02 × 6,126.31
  4. Step 4: Simplify right side
    11,965.57x = 109,979,609.01
  5. Step 5: Solve for x
    x = 109,979,609.01/11,965.57
  6. Step 6: Final answer
    x = 9,191.34

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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.