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Finding the Fourth Proportional to 8,082.14, 12,134.02 and 7,819.70

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Solution

The fourth proportional to 8,082.14, 12,134.02 and 7,819.70 is: 11,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.14 : 12,134.02 = 7,819.70 : x
  2. Step 2: Convert to fraction form
    8,082.14/12,134.02 = 7,819.70/x
  3. Step 3: Cross multiply
    8,082.14x = 12,134.02 × 7,819.70
  4. Step 4: Simplify right side
    8,082.14x = 94,884,396.19
  5. Step 5: Solve for x
    x = 94,884,396.19/8,082.14
  6. Step 6: Final answer
    x = 11,740.01

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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.