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Finding the Fourth Proportional to 11,721.40, 17,573.10 and 5,882.20

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Solution

The fourth proportional to 11,721.40, 17,573.10 and 5,882.20 is: 8,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.40 : 17,573.10 = 5,882.20 : x
  2. Step 2: Convert to fraction form
    11,721.40/17,573.10 = 5,882.20/x
  3. Step 3: Cross multiply
    11,721.40x = 17,573.10 × 5,882.20
  4. Step 4: Simplify right side
    11,721.40x = 103,368,488.82
  5. Step 5: Solve for x
    x = 103,368,488.82/11,721.40
  6. Step 6: Final answer
    x = 8,818.78

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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.