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Finding the Fourth Proportional to 11,161.82, 15,413.69 and 7,189.76

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Solution

The fourth proportional to 11,161.82, 15,413.69 and 7,189.76 is: 9,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.82 : 15,413.69 = 7,189.76 : x
  2. Step 2: Convert to fraction form
    11,161.82/15,413.69 = 7,189.76/x
  3. Step 3: Cross multiply
    11,161.82x = 15,413.69 × 7,189.76
  4. Step 4: Simplify right side
    11,161.82x = 110,820,731.81
  5. Step 5: Solve for x
    x = 110,820,731.81/11,161.82
  6. Step 6: Final answer
    x = 9,928.55

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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.