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Finding the Fourth Proportional to 11,885.73, 17,822.43 and 5,219.49

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Solution

The fourth proportional to 11,885.73, 17,822.43 and 5,219.49 is: 7,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.73 : 17,822.43 = 5,219.49 : x
  2. Step 2: Convert to fraction form
    11,885.73/17,822.43 = 5,219.49/x
  3. Step 3: Cross multiply
    11,885.73x = 17,822.43 × 5,219.49
  4. Step 4: Simplify right side
    11,885.73x = 93,023,995.16
  5. Step 5: Solve for x
    x = 93,023,995.16/11,885.73
  6. Step 6: Final answer
    x = 7,826.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.