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Finding the Fourth Proportional to 7,695.92, 11,546.04 and 3,082.16

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Solution

The fourth proportional to 7,695.92, 11,546.04 and 3,082.16 is: 4,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.92 : 11,546.04 = 3,082.16 : x
  2. Step 2: Convert to fraction form
    7,695.92/11,546.04 = 3,082.16/x
  3. Step 3: Cross multiply
    7,695.92x = 11,546.04 × 3,082.16
  4. Step 4: Simplify right side
    7,695.92x = 35,586,742.65
  5. Step 5: Solve for x
    x = 35,586,742.65/7,695.92
  6. Step 6: Final answer
    x = 4,624.11

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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.