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Finding the Fourth Proportional to 11,402.97, 17,105.43 and 3,082.95

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Solution

The fourth proportional to 11,402.97, 17,105.43 and 3,082.95 is: 4,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.97 : 17,105.43 = 3,082.95 : x
  2. Step 2: Convert to fraction form
    11,402.97/17,105.43 = 3,082.95/x
  3. Step 3: Cross multiply
    11,402.97x = 17,105.43 × 3,082.95
  4. Step 4: Simplify right side
    11,402.97x = 52,735,185.42
  5. Step 5: Solve for x
    x = 52,735,185.42/11,402.97
  6. Step 6: Final answer
    x = 4,624.69

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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.