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Finding the Fourth Proportional to 8,082.24, 12,125.51 and 7,311.12

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Solution

The fourth proportional to 8,082.24, 12,125.51 and 7,311.12 is: 10,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.24 : 12,125.51 = 7,311.12 : x
  2. Step 2: Convert to fraction form
    8,082.24/12,125.51 = 7,311.12/x
  3. Step 3: Cross multiply
    8,082.24x = 12,125.51 × 7,311.12
  4. Step 4: Simplify right side
    8,082.24x = 88,651,058.67
  5. Step 5: Solve for x
    x = 88,651,058.67/8,082.24
  6. Step 6: Final answer
    x = 10,968.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.