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Finding the Fourth Proportional to 7,233.50, 10,851.62 and 2,489.54

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Solution

The fourth proportional to 7,233.50, 10,851.62 and 2,489.54 is: 3,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.50 : 10,851.62 = 2,489.54 : x
  2. Step 2: Convert to fraction form
    7,233.50/10,851.62 = 2,489.54/x
  3. Step 3: Cross multiply
    7,233.50x = 10,851.62 × 2,489.54
  4. Step 4: Simplify right side
    7,233.50x = 27,015,489.35
  5. Step 5: Solve for x
    x = 27,015,489.35/7,233.50
  6. Step 6: Final answer
    x = 3,734.77

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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.