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Finding the Fourth Proportional to 8,472, 12,716.10 and 3,540.33

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Solution

The fourth proportional to 8,472, 12,716.10 and 3,540.33 is: 5,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472 : 12,716.10 = 3,540.33 : x
  2. Step 2: Convert to fraction form
    8,472/12,716.10 = 3,540.33/x
  3. Step 3: Cross multiply
    8,472x = 12,716.10 × 3,540.33
  4. Step 4: Simplify right side
    8,472x = 45,019,190.31
  5. Step 5: Solve for x
    x = 45,019,190.31/8,472
  6. Step 6: Final answer
    x = 5,313.88

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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.