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Finding the Fourth Proportional to 11,817.57, 17,708.49 and 7,132.37

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Solution

The fourth proportional to 11,817.57, 17,708.49 and 7,132.37 is: 10,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.57 : 17,708.49 = 7,132.37 : x
  2. Step 2: Convert to fraction form
    11,817.57/17,708.49 = 7,132.37/x
  3. Step 3: Cross multiply
    11,817.57x = 17,708.49 × 7,132.37
  4. Step 4: Simplify right side
    11,817.57x = 126,303,414.28
  5. Step 5: Solve for x
    x = 126,303,414.28/11,817.57
  6. Step 6: Final answer
    x = 10,687.77

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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.