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Finding the Fourth Proportional to 7,074.96, 9,753.48 and 5,082.16

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Solution

The fourth proportional to 7,074.96, 9,753.48 and 5,082.16 is: 7,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.96 : 9,753.48 = 5,082.16 : x
  2. Step 2: Convert to fraction form
    7,074.96/9,753.48 = 5,082.16/x
  3. Step 3: Cross multiply
    7,074.96x = 9,753.48 × 5,082.16
  4. Step 4: Simplify right side
    7,074.96x = 49,568,745.92
  5. Step 5: Solve for x
    x = 49,568,745.92/7,074.96
  6. Step 6: Final answer
    x = 7,006.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.