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Finding the Fourth Proportional to 7,082.10, 9,772.65 and 4,249.44

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Solution

The fourth proportional to 7,082.10, 9,772.65 and 4,249.44 is: 5,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.10 : 9,772.65 = 4,249.44 : x
  2. Step 2: Convert to fraction form
    7,082.10/9,772.65 = 4,249.44/x
  3. Step 3: Cross multiply
    7,082.10x = 9,772.65 × 4,249.44
  4. Step 4: Simplify right side
    7,082.10x = 41,528,289.82
  5. Step 5: Solve for x
    x = 41,528,289.82/7,082.10
  6. Step 6: Final answer
    x = 5,863.84

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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.