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Finding the Fourth Proportional to 8,122.32, 12,183.51 and 1,966.32

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Solution

The fourth proportional to 8,122.32, 12,183.51 and 1,966.32 is: 2,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.32 : 12,183.51 = 1,966.32 : x
  2. Step 2: Convert to fraction form
    8,122.32/12,183.51 = 1,966.32/x
  3. Step 3: Cross multiply
    8,122.32x = 12,183.51 × 1,966.32
  4. Step 4: Simplify right side
    8,122.32x = 23,956,679.38
  5. Step 5: Solve for x
    x = 23,956,679.38/8,122.32
  6. Step 6: Final answer
    x = 2,949.49

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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.