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Finding the Fourth Proportional to 8,500.85, 11,732.57 and 7,082.29

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Solution

The fourth proportional to 8,500.85, 11,732.57 and 7,082.29 is: 9,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.85 : 11,732.57 = 7,082.29 : x
  2. Step 2: Convert to fraction form
    8,500.85/11,732.57 = 7,082.29/x
  3. Step 3: Cross multiply
    8,500.85x = 11,732.57 × 7,082.29
  4. Step 4: Simplify right side
    8,500.85x = 83,093,486.70
  5. Step 5: Solve for x
    x = 83,093,486.70/8,500.85
  6. Step 6: Final answer
    x = 9,774.72

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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.