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Finding the Fourth Proportional to 11,821.59, 17,697.83 and 7,173.27

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Solution

The fourth proportional to 11,821.59, 17,697.83 and 7,173.27 is: 10,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.59 : 17,697.83 = 7,173.27 : x
  2. Step 2: Convert to fraction form
    11,821.59/17,697.83 = 7,173.27/x
  3. Step 3: Cross multiply
    11,821.59x = 17,697.83 × 7,173.27
  4. Step 4: Simplify right side
    11,821.59x = 126,951,277.14
  5. Step 5: Solve for x
    x = 126,951,277.14/11,821.59
  6. Step 6: Final answer
    x = 10,738.93

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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.