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Finding the Fourth Proportional to 7,082.80, 9,773.38 and 3,895.56

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Solution

The fourth proportional to 7,082.80, 9,773.38 and 3,895.56 is: 5,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.80 : 9,773.38 = 3,895.56 : x
  2. Step 2: Convert to fraction form
    7,082.80/9,773.38 = 3,895.56/x
  3. Step 3: Cross multiply
    7,082.80x = 9,773.38 × 3,895.56
  4. Step 4: Simplify right side
    7,082.80x = 38,072,788.19
  5. Step 5: Solve for x
    x = 38,072,788.19/7,082.80
  6. Step 6: Final answer
    x = 5,375.39

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Why These Related Problems?

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