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Finding the Fourth Proportional to 8,258.87, 11,413.62 and 6,764.42

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Solution

The fourth proportional to 8,258.87, 11,413.62 and 6,764.42 is: 9,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.87 : 11,413.62 = 6,764.42 : x
  2. Step 2: Convert to fraction form
    8,258.87/11,413.62 = 6,764.42/x
  3. Step 3: Cross multiply
    8,258.87x = 11,413.62 × 6,764.42
  4. Step 4: Simplify right side
    8,258.87x = 77,206,462.33
  5. Step 5: Solve for x
    x = 77,206,462.33/8,258.87
  6. Step 6: Final answer
    x = 9,348.31

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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.