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Finding the Fourth Proportional to 12,082.64, 18,125.24 and 5,922

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Solution

The fourth proportional to 12,082.64, 18,125.24 and 5,922 is: 8,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.64 : 18,125.24 = 5,922 : x
  2. Step 2: Convert to fraction form
    12,082.64/18,125.24 = 5,922/x
  3. Step 3: Cross multiply
    12,082.64x = 18,125.24 × 5,922
  4. Step 4: Simplify right side
    12,082.64x = 107,337,671.28
  5. Step 5: Solve for x
    x = 107,337,671.28/12,082.64
  6. Step 6: Final answer
    x = 8,883.63

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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.