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Finding the Fourth Proportional to 8,270.36, 11,413.12 and 4,493.50

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Solution

The fourth proportional to 8,270.36, 11,413.12 and 4,493.50 is: 6,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.36 : 11,413.12 = 4,493.50 : x
  2. Step 2: Convert to fraction form
    8,270.36/11,413.12 = 4,493.50/x
  3. Step 3: Cross multiply
    8,270.36x = 11,413.12 × 4,493.50
  4. Step 4: Simplify right side
    8,270.36x = 51,284,854.72
  5. Step 5: Solve for x
    x = 51,284,854.72/8,270.36
  6. Step 6: Final answer
    x = 6,201.04

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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.