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Finding the Fourth Proportional to 8,155.98, 12,162.51 and 8,082.09

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Solution

The fourth proportional to 8,155.98, 12,162.51 and 8,082.09 is: 12,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.98 : 12,162.51 = 8,082.09 : x
  2. Step 2: Convert to fraction form
    8,155.98/12,162.51 = 8,082.09/x
  3. Step 3: Cross multiply
    8,155.98x = 12,162.51 × 8,082.09
  4. Step 4: Simplify right side
    8,155.98x = 98,298,500.45
  5. Step 5: Solve for x
    x = 98,298,500.45/8,155.98
  6. Step 6: Final answer
    x = 12,052.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.