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Finding the Fourth Proportional to 11,413.68, 15,745.98 and 6,633.27

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Solution

The fourth proportional to 11,413.68, 15,745.98 and 6,633.27 is: 9,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.68 : 15,745.98 = 6,633.27 : x
  2. Step 2: Convert to fraction form
    11,413.68/15,745.98 = 6,633.27/x
  3. Step 3: Cross multiply
    11,413.68x = 15,745.98 × 6,633.27
  4. Step 4: Simplify right side
    11,413.68x = 104,447,336.75
  5. Step 5: Solve for x
    x = 104,447,336.75/11,413.68
  6. Step 6: Final answer
    x = 9,151.07

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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.