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Finding the Fourth Proportional to 8,162.76, 12,236.80 and 2,965

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Solution

The fourth proportional to 8,162.76, 12,236.80 and 2,965 is: 4,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.76 : 12,236.80 = 2,965 : x
  2. Step 2: Convert to fraction form
    8,162.76/12,236.80 = 2,965/x
  3. Step 3: Cross multiply
    8,162.76x = 12,236.80 × 2,965
  4. Step 4: Simplify right side
    8,162.76x = 36,282,112
  5. Step 5: Solve for x
    x = 36,282,112/8,162.76
  6. Step 6: Final answer
    x = 4,444.83

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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.