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Finding the Fourth Proportional to 11,922.49, 17,889.20 and 6,083.20

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Solution

The fourth proportional to 11,922.49, 17,889.20 and 6,083.20 is: 9,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.49 : 17,889.20 = 6,083.20 : x
  2. Step 2: Convert to fraction form
    11,922.49/17,889.20 = 6,083.20/x
  3. Step 3: Cross multiply
    11,922.49x = 17,889.20 × 6,083.20
  4. Step 4: Simplify right side
    11,922.49x = 108,823,630.42
  5. Step 5: Solve for x
    x = 108,823,630.42/11,922.49
  6. Step 6: Final answer
    x = 9,127.59

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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.