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Finding the Fourth Proportional to 11,129.25, 15,359.79 and 6,413.57

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Solution

The fourth proportional to 11,129.25, 15,359.79 and 6,413.57 is: 8,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.25 : 15,359.79 = 6,413.57 : x
  2. Step 2: Convert to fraction form
    11,129.25/15,359.79 = 6,413.57/x
  3. Step 3: Cross multiply
    11,129.25x = 15,359.79 × 6,413.57
  4. Step 4: Simplify right side
    11,129.25x = 98,511,088.35
  5. Step 5: Solve for x
    x = 98,511,088.35/11,129.25
  6. Step 6: Final answer
    x = 8,851.55

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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.