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Finding the Fourth Proportional to 7,223.72, 10,837.11 and 2,543.54

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Solution

The fourth proportional to 7,223.72, 10,837.11 and 2,543.54 is: 3,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.72 : 10,837.11 = 2,543.54 : x
  2. Step 2: Convert to fraction form
    7,223.72/10,837.11 = 2,543.54/x
  3. Step 3: Cross multiply
    7,223.72x = 10,837.11 × 2,543.54
  4. Step 4: Simplify right side
    7,223.72x = 27,564,555.87
  5. Step 5: Solve for x
    x = 27,564,555.87/7,223.72
  6. Step 6: Final answer
    x = 3,815.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.