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Finding the Fourth Proportional to 7,211.72, 10,813.44 and 2,824.04

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Solution

The fourth proportional to 7,211.72, 10,813.44 and 2,824.04 is: 4,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.72 : 10,813.44 = 2,824.04 : x
  2. Step 2: Convert to fraction form
    7,211.72/10,813.44 = 2,824.04/x
  3. Step 3: Cross multiply
    7,211.72x = 10,813.44 × 2,824.04
  4. Step 4: Simplify right side
    7,211.72x = 30,537,587.10
  5. Step 5: Solve for x
    x = 30,537,587.10/7,211.72
  6. Step 6: Final answer
    x = 4,234.44

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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.