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Finding the Fourth Proportional to 8,082.64, 12,120.48 and 3,151.36

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Solution

The fourth proportional to 8,082.64, 12,120.48 and 3,151.36 is: 4,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.64 : 12,120.48 = 3,151.36 : x
  2. Step 2: Convert to fraction form
    8,082.64/12,120.48 = 3,151.36/x
  3. Step 3: Cross multiply
    8,082.64x = 12,120.48 × 3,151.36
  4. Step 4: Simplify right side
    8,082.64x = 38,195,995.85
  5. Step 5: Solve for x
    x = 38,195,995.85/8,082.64
  6. Step 6: Final answer
    x = 4,725.68

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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.