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Finding the Fourth Proportional to 8,082.75, 11,154.33 and 5,288.25

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Solution

The fourth proportional to 8,082.75, 11,154.33 and 5,288.25 is: 7,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.75 : 11,154.33 = 5,288.25 : x
  2. Step 2: Convert to fraction form
    8,082.75/11,154.33 = 5,288.25/x
  3. Step 3: Cross multiply
    8,082.75x = 11,154.33 × 5,288.25
  4. Step 4: Simplify right side
    8,082.75x = 58,986,885.62
  5. Step 5: Solve for x
    x = 58,986,885.62/8,082.75
  6. Step 6: Final answer
    x = 7,297.87

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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.