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Finding the Fourth Proportional to 7,305.96, 10,082.21 and 4,162.17

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Solution

The fourth proportional to 7,305.96, 10,082.21 and 4,162.17 is: 5,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.96 : 10,082.21 = 4,162.17 : x
  2. Step 2: Convert to fraction form
    7,305.96/10,082.21 = 4,162.17/x
  3. Step 3: Cross multiply
    7,305.96x = 10,082.21 × 4,162.17
  4. Step 4: Simplify right side
    7,305.96x = 41,963,851.18
  5. Step 5: Solve for x
    x = 41,963,851.18/7,305.96
  6. Step 6: Final answer
    x = 5,743.78

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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.