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Finding the Fourth Proportional to 8,270.51, 12,413.96 and 6,728.67

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Solution

The fourth proportional to 8,270.51, 12,413.96 and 6,728.67 is: 10,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.51 : 12,413.96 = 6,728.67 : x
  2. Step 2: Convert to fraction form
    8,270.51/12,413.96 = 6,728.67/x
  3. Step 3: Cross multiply
    8,270.51x = 12,413.96 × 6,728.67
  4. Step 4: Simplify right side
    8,270.51x = 83,529,431.82
  5. Step 5: Solve for x
    x = 83,529,431.82/8,270.51
  6. Step 6: Final answer
    x = 10,099.68

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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.