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Finding the Fourth Proportional to 11,882.72, 17,817.93 and 5,216.49

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Solution

The fourth proportional to 11,882.72, 17,817.93 and 5,216.49 is: 7,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.72 : 17,817.93 = 5,216.49 : x
  2. Step 2: Convert to fraction form
    11,882.72/17,817.93 = 5,216.49/x
  3. Step 3: Cross multiply
    11,882.72x = 17,817.93 × 5,216.49
  4. Step 4: Simplify right side
    11,882.72x = 92,947,053.67
  5. Step 5: Solve for x
    x = 92,947,053.67/11,882.72
  6. Step 6: Final answer
    x = 7,822.04

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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.