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Finding the Fourth Proportional to 11,413.80, 15,650.25 and 10,290.33

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Solution

The fourth proportional to 11,413.80, 15,650.25 and 10,290.33 is: 14,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.80 : 15,650.25 = 10,290.33 : x
  2. Step 2: Convert to fraction form
    11,413.80/15,650.25 = 10,290.33/x
  3. Step 3: Cross multiply
    11,413.80x = 15,650.25 × 10,290.33
  4. Step 4: Simplify right side
    11,413.80x = 161,046,237.08
  5. Step 5: Solve for x
    x = 161,046,237.08/11,413.80
  6. Step 6: Final answer
    x = 14,109.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.