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Finding the Fourth Proportional to 11,413.92, 15,756.48 and 7,227.84

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Solution

The fourth proportional to 11,413.92, 15,756.48 and 7,227.84 is: 9,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.92 : 15,756.48 = 7,227.84 : x
  2. Step 2: Convert to fraction form
    11,413.92/15,756.48 = 7,227.84/x
  3. Step 3: Cross multiply
    11,413.92x = 15,756.48 × 7,227.84
  4. Step 4: Simplify right side
    11,413.92x = 113,885,316.40
  5. Step 5: Solve for x
    x = 113,885,316.40/11,413.92
  6. Step 6: Final answer
    x = 9,977.76

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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.