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Finding the Fourth Proportional to 11,808.72, 17,717.46 and 5,230.20

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Solution

The fourth proportional to 11,808.72, 17,717.46 and 5,230.20 is: 7,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.72 : 17,717.46 = 5,230.20 : x
  2. Step 2: Convert to fraction form
    11,808.72/17,717.46 = 5,230.20/x
  3. Step 3: Cross multiply
    11,808.72x = 17,717.46 × 5,230.20
  4. Step 4: Simplify right side
    11,808.72x = 92,665,859.29
  5. Step 5: Solve for x
    x = 92,665,859.29/11,808.72
  6. Step 6: Final answer
    x = 7,847.24

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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.