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Finding the Fourth Proportional to 8,276.56, 12,414.84 and 2,120.56

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Solution

The fourth proportional to 8,276.56, 12,414.84 and 2,120.56 is: 3,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.56 : 12,414.84 = 2,120.56 : x
  2. Step 2: Convert to fraction form
    8,276.56/12,414.84 = 2,120.56/x
  3. Step 3: Cross multiply
    8,276.56x = 12,414.84 × 2,120.56
  4. Step 4: Simplify right side
    8,276.56x = 26,326,413.11
  5. Step 5: Solve for x
    x = 26,326,413.11/8,276.56
  6. Step 6: Final answer
    x = 3,180.84

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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.