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Finding the Fourth Proportional to 11,915.37, 17,828.30 and 7,413.80

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Solution

The fourth proportional to 11,915.37, 17,828.30 and 7,413.80 is: 11,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.37 : 17,828.30 = 7,413.80 : x
  2. Step 2: Convert to fraction form
    11,915.37/17,828.30 = 7,413.80/x
  3. Step 3: Cross multiply
    11,915.37x = 17,828.30 × 7,413.80
  4. Step 4: Simplify right side
    11,915.37x = 132,175,379.93
  5. Step 5: Solve for x
    x = 132,175,379.93/11,915.37
  6. Step 6: Final answer
    x = 11,092.85

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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.