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Finding the Fourth Proportional to 7,065.82, 9,751.17 and 4,082.05

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Solution

The fourth proportional to 7,065.82, 9,751.17 and 4,082.05 is: 5,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.82 : 9,751.17 = 4,082.05 : x
  2. Step 2: Convert to fraction form
    7,065.82/9,751.17 = 4,082.05/x
  3. Step 3: Cross multiply
    7,065.82x = 9,751.17 × 4,082.05
  4. Step 4: Simplify right side
    7,065.82x = 39,804,763.50
  5. Step 5: Solve for x
    x = 39,804,763.50/7,065.82
  6. Step 6: Final answer
    x = 5,633.42

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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.