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Finding the Fourth Proportional to 8,182.16, 12,269.60 and 2,634.48

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Solution

The fourth proportional to 8,182.16, 12,269.60 and 2,634.48 is: 3,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.16 : 12,269.60 = 2,634.48 : x
  2. Step 2: Convert to fraction form
    8,182.16/12,269.60 = 2,634.48/x
  3. Step 3: Cross multiply
    8,182.16x = 12,269.60 × 2,634.48
  4. Step 4: Simplify right side
    8,182.16x = 32,324,015.81
  5. Step 5: Solve for x
    x = 32,324,015.81/8,182.16
  6. Step 6: Final answer
    x = 3,950.55

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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.