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Finding the Fourth Proportional to 11,960.16, 17,921.92 and 6,118.24

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Solution

The fourth proportional to 11,960.16, 17,921.92 and 6,118.24 is: 9,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.16 : 17,921.92 = 6,118.24 : x
  2. Step 2: Convert to fraction form
    11,960.16/17,921.92 = 6,118.24/x
  3. Step 3: Cross multiply
    11,960.16x = 17,921.92 × 6,118.24
  4. Step 4: Simplify right side
    11,960.16x = 109,650,607.82
  5. Step 5: Solve for x
    x = 109,650,607.82/11,960.16
  6. Step 6: Final answer
    x = 9,167.99

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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.