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Finding the Fourth Proportional to 11,180.67, 15,413.06 and 7,813.03

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Solution

The fourth proportional to 11,180.67, 15,413.06 and 7,813.03 is: 10,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.67 : 15,413.06 = 7,813.03 : x
  2. Step 2: Convert to fraction form
    11,180.67/15,413.06 = 7,813.03/x
  3. Step 3: Cross multiply
    11,180.67x = 15,413.06 × 7,813.03
  4. Step 4: Simplify right side
    11,180.67x = 120,422,719.70
  5. Step 5: Solve for x
    x = 120,422,719.70/11,180.67
  6. Step 6: Final answer
    x = 10,770.62

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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.