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Finding the Fourth Proportional to 7,120.92, 10,680.42 and 3,658.20

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Solution

The fourth proportional to 7,120.92, 10,680.42 and 3,658.20 is: 5,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.92 : 10,680.42 = 3,658.20 : x
  2. Step 2: Convert to fraction form
    7,120.92/10,680.42 = 3,658.20/x
  3. Step 3: Cross multiply
    7,120.92x = 10,680.42 × 3,658.20
  4. Step 4: Simplify right side
    7,120.92x = 39,071,112.44
  5. Step 5: Solve for x
    x = 39,071,112.44/7,120.92
  6. Step 6: Final answer
    x = 5,486.81

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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.