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Finding the Fourth Proportional to 7,225.92, 9,972.24 and 4,082.16

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Solution

The fourth proportional to 7,225.92, 9,972.24 and 4,082.16 is: 5,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.92 : 9,972.24 = 4,082.16 : x
  2. Step 2: Convert to fraction form
    7,225.92/9,972.24 = 4,082.16/x
  3. Step 3: Cross multiply
    7,225.92x = 9,972.24 × 4,082.16
  4. Step 4: Simplify right side
    7,225.92x = 40,708,279.24
  5. Step 5: Solve for x
    x = 40,708,279.24/7,225.92
  6. Step 6: Final answer
    x = 5,633.65

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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.