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Finding the Fourth Proportional to 11,396.38, 17,082.64 and 6,391.42

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Solution

The fourth proportional to 11,396.38, 17,082.64 and 6,391.42 is: 9,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.38 : 17,082.64 = 6,391.42 : x
  2. Step 2: Convert to fraction form
    11,396.38/17,082.64 = 6,391.42/x
  3. Step 3: Cross multiply
    11,396.38x = 17,082.64 × 6,391.42
  4. Step 4: Simplify right side
    11,396.38x = 109,182,326.95
  5. Step 5: Solve for x
    x = 109,182,326.95/11,396.38
  6. Step 6: Final answer
    x = 9,580.44

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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.