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Finding the Fourth Proportional to 11,949.52, 16,493.80 and 7,413.58

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Solution

The fourth proportional to 11,949.52, 16,493.80 and 7,413.58 is: 10,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.52 : 16,493.80 = 7,413.58 : x
  2. Step 2: Convert to fraction form
    11,949.52/16,493.80 = 7,413.58/x
  3. Step 3: Cross multiply
    11,949.52x = 16,493.80 × 7,413.58
  4. Step 4: Simplify right side
    11,949.52x = 122,278,105.80
  5. Step 5: Solve for x
    x = 122,278,105.80/11,949.52
  6. Step 6: Final answer
    x = 10,232.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.