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Finding the Fourth Proportional to 11,952.37, 17,930.83 and 5,712.87

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Solution

The fourth proportional to 11,952.37, 17,930.83 and 5,712.87 is: 8,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.37 : 17,930.83 = 5,712.87 : x
  2. Step 2: Convert to fraction form
    11,952.37/17,930.83 = 5,712.87/x
  3. Step 3: Cross multiply
    11,952.37x = 17,930.83 × 5,712.87
  4. Step 4: Simplify right side
    11,952.37x = 102,436,500.78
  5. Step 5: Solve for x
    x = 102,436,500.78/11,952.37
  6. Step 6: Final answer
    x = 8,570.39

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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.