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Finding the Fourth Proportional to 11,571.24, 17,355.78 and 4,996.20

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Solution

The fourth proportional to 11,571.24, 17,355.78 and 4,996.20 is: 7,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.24 : 17,355.78 = 4,996.20 : x
  2. Step 2: Convert to fraction form
    11,571.24/17,355.78 = 4,996.20/x
  3. Step 3: Cross multiply
    11,571.24x = 17,355.78 × 4,996.20
  4. Step 4: Simplify right side
    11,571.24x = 86,712,948.04
  5. Step 5: Solve for x
    x = 86,712,948.04/11,571.24
  6. Step 6: Final answer
    x = 7,493.83

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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.