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Finding the Fourth Proportional to 6,723.84, 10,082.04 and 2,774.04

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Solution

The fourth proportional to 6,723.84, 10,082.04 and 2,774.04 is: 4,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.84 : 10,082.04 = 2,774.04 : x
  2. Step 2: Convert to fraction form
    6,723.84/10,082.04 = 2,774.04/x
  3. Step 3: Cross multiply
    6,723.84x = 10,082.04 × 2,774.04
  4. Step 4: Simplify right side
    6,723.84x = 27,967,982.24
  5. Step 5: Solve for x
    x = 27,967,982.24/6,723.84
  6. Step 6: Final answer
    x = 4,159.53

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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.