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Finding the Fourth Proportional to 8,118.96, 12,177.01 and 2,276.02

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Solution

The fourth proportional to 8,118.96, 12,177.01 and 2,276.02 is: 3,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.96 : 12,177.01 = 2,276.02 : x
  2. Step 2: Convert to fraction form
    8,118.96/12,177.01 = 2,276.02/x
  3. Step 3: Cross multiply
    8,118.96x = 12,177.01 × 2,276.02
  4. Step 4: Simplify right side
    8,118.96x = 27,715,118.30
  5. Step 5: Solve for x
    x = 27,715,118.30/8,118.96
  6. Step 6: Final answer
    x = 3,413.63

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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.