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Finding the Fourth Proportional to 8,096.98, 12,147.09 and 2,551.18

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Solution

The fourth proportional to 8,096.98, 12,147.09 and 2,551.18 is: 3,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.98 : 12,147.09 = 2,551.18 : x
  2. Step 2: Convert to fraction form
    8,096.98/12,147.09 = 2,551.18/x
  3. Step 3: Cross multiply
    8,096.98x = 12,147.09 × 2,551.18
  4. Step 4: Simplify right side
    8,096.98x = 30,989,413.07
  5. Step 5: Solve for x
    x = 30,989,413.07/8,096.98
  6. Step 6: Final answer
    x = 3,827.28

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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.