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Finding the Fourth Proportional to 8,238.04, 12,413.28 and 6,809.20

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Solution

The fourth proportional to 8,238.04, 12,413.28 and 6,809.20 is: 10,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.04 : 12,413.28 = 6,809.20 : x
  2. Step 2: Convert to fraction form
    8,238.04/12,413.28 = 6,809.20/x
  3. Step 3: Cross multiply
    8,238.04x = 12,413.28 × 6,809.20
  4. Step 4: Simplify right side
    8,238.04x = 84,524,520.19
  5. Step 5: Solve for x
    x = 84,524,520.19/8,238.04
  6. Step 6: Final answer
    x = 10,260.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.