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Finding the Fourth Proportional to 7,082.75, 9,776.63 and 4,288.25

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Solution

The fourth proportional to 7,082.75, 9,776.63 and 4,288.25 is: 5,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.75 : 9,776.63 = 4,288.25 : x
  2. Step 2: Convert to fraction form
    7,082.75/9,776.63 = 4,288.25/x
  3. Step 3: Cross multiply
    7,082.75x = 9,776.63 × 4,288.25
  4. Step 4: Simplify right side
    7,082.75x = 41,924,633.60
  5. Step 5: Solve for x
    x = 41,924,633.60/7,082.75
  6. Step 6: Final answer
    x = 5,919.26

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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.