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Finding the Fourth Proportional to 8,122.10, 12,183.15 and 3,190.10

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Solution

The fourth proportional to 8,122.10, 12,183.15 and 3,190.10 is: 4,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.10 : 12,183.15 = 3,190.10 : x
  2. Step 2: Convert to fraction form
    8,122.10/12,183.15 = 3,190.10/x
  3. Step 3: Cross multiply
    8,122.10x = 12,183.15 × 3,190.10
  4. Step 4: Simplify right side
    8,122.10x = 38,865,466.82
  5. Step 5: Solve for x
    x = 38,865,466.82/8,122.10
  6. Step 6: Final answer
    x = 4,785.15

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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.