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Finding the Fourth Proportional to 7,082.97, 10,623.02 and 6,731.70

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Solution

The fourth proportional to 7,082.97, 10,623.02 and 6,731.70 is: 10,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.97 : 10,623.02 = 6,731.70 : x
  2. Step 2: Convert to fraction form
    7,082.97/10,623.02 = 6,731.70/x
  3. Step 3: Cross multiply
    7,082.97x = 10,623.02 × 6,731.70
  4. Step 4: Simplify right side
    7,082.97x = 71,510,950.08
  5. Step 5: Solve for x
    x = 71,510,950.08/7,082.97
  6. Step 6: Final answer
    x = 10,096.18

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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.