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Finding the Fourth Proportional to 11,023.05, 16,505.82 and 6,082.32

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Solution

The fourth proportional to 11,023.05, 16,505.82 and 6,082.32 is: 9,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.05 : 16,505.82 = 6,082.32 : x
  2. Step 2: Convert to fraction form
    11,023.05/16,505.82 = 6,082.32/x
  3. Step 3: Cross multiply
    11,023.05x = 16,505.82 × 6,082.32
  4. Step 4: Simplify right side
    11,023.05x = 100,393,679.10
  5. Step 5: Solve for x
    x = 100,393,679.10/11,023.05
  6. Step 6: Final answer
    x = 9,107.61

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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.