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Finding the Fourth Proportional to 11,990.70, 17,963.10 and 6,442.20

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Solution

The fourth proportional to 11,990.70, 17,963.10 and 6,442.20 is: 9,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990.70 : 17,963.10 = 6,442.20 : x
  2. Step 2: Convert to fraction form
    11,990.70/17,963.10 = 6,442.20/x
  3. Step 3: Cross multiply
    11,990.70x = 17,963.10 × 6,442.20
  4. Step 4: Simplify right side
    11,990.70x = 115,721,882.82
  5. Step 5: Solve for x
    x = 115,721,882.82/11,990.70
  6. Step 6: Final answer
    x = 9,650.97

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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.