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Finding the Fourth Proportional to 7,242.72, 10,865.22 and 3,734.82

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Solution

The fourth proportional to 7,242.72, 10,865.22 and 3,734.82 is: 5,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.72 : 10,865.22 = 3,734.82 : x
  2. Step 2: Convert to fraction form
    7,242.72/10,865.22 = 3,734.82/x
  3. Step 3: Cross multiply
    7,242.72x = 10,865.22 × 3,734.82
  4. Step 4: Simplify right side
    7,242.72x = 40,579,640.96
  5. Step 5: Solve for x
    x = 40,579,640.96/7,242.72
  6. Step 6: Final answer
    x = 5,602.82

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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.