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Finding the Fourth Proportional to 8,285.40, 12,413.70 and 6,816.60

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Solution

The fourth proportional to 8,285.40, 12,413.70 and 6,816.60 is: 10,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.40 : 12,413.70 = 6,816.60 : x
  2. Step 2: Convert to fraction form
    8,285.40/12,413.70 = 6,816.60/x
  3. Step 3: Cross multiply
    8,285.40x = 12,413.70 × 6,816.60
  4. Step 4: Simplify right side
    8,285.40x = 84,619,227.42
  5. Step 5: Solve for x
    x = 84,619,227.42/8,285.40
  6. Step 6: Final answer
    x = 10,213.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.