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Finding the Fourth Proportional to 8,266.53, 11,413.76 and 5,084.11

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Solution

The fourth proportional to 8,266.53, 11,413.76 and 5,084.11 is: 7,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.53 : 11,413.76 = 5,084.11 : x
  2. Step 2: Convert to fraction form
    8,266.53/11,413.76 = 5,084.11/x
  3. Step 3: Cross multiply
    8,266.53x = 11,413.76 × 5,084.11
  4. Step 4: Simplify right side
    8,266.53x = 58,028,736.00
  5. Step 5: Solve for x
    x = 58,028,736.00/8,266.53
  6. Step 6: Final answer
    x = 7,019.72

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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.