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Finding the Fourth Proportional to 8,770.09, 12,105.17 and 5,413.45

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Solution

The fourth proportional to 8,770.09, 12,105.17 and 5,413.45 is: 7,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.09 : 12,105.17 = 5,413.45 : x
  2. Step 2: Convert to fraction form
    8,770.09/12,105.17 = 5,413.45/x
  3. Step 3: Cross multiply
    8,770.09x = 12,105.17 × 5,413.45
  4. Step 4: Simplify right side
    8,770.09x = 65,530,705.47
  5. Step 5: Solve for x
    x = 65,530,705.47/8,770.09
  6. Step 6: Final answer
    x = 7,472.07

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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.