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Finding the Fourth Proportional to 11,384.47, 17,082.37 and 6,383.73

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Solution

The fourth proportional to 11,384.47, 17,082.37 and 6,383.73 is: 9,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.47 : 17,082.37 = 6,383.73 : x
  2. Step 2: Convert to fraction form
    11,384.47/17,082.37 = 6,383.73/x
  3. Step 3: Cross multiply
    11,384.47x = 17,082.37 × 6,383.73
  4. Step 4: Simplify right side
    11,384.47x = 109,049,237.84
  5. Step 5: Solve for x
    x = 109,049,237.84/11,384.47
  6. Step 6: Final answer
    x = 9,578.78

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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.