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Finding the Fourth Proportional to 7,082.28, 10,578.18 and 6,414.21

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Solution

The fourth proportional to 7,082.28, 10,578.18 and 6,414.21 is: 9,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.28 : 10,578.18 = 6,414.21 : x
  2. Step 2: Convert to fraction form
    7,082.28/10,578.18 = 6,414.21/x
  3. Step 3: Cross multiply
    7,082.28x = 10,578.18 × 6,414.21
  4. Step 4: Simplify right side
    7,082.28x = 67,850,667.94
  5. Step 5: Solve for x
    x = 67,850,667.94/7,082.28
  6. Step 6: Final answer
    x = 9,580.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.