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Finding the Fourth Proportional to 8,496.32, 12,738.53 and 3,231.64

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Solution

The fourth proportional to 8,496.32, 12,738.53 and 3,231.64 is: 4,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.32 : 12,738.53 = 3,231.64 : x
  2. Step 2: Convert to fraction form
    8,496.32/12,738.53 = 3,231.64/x
  3. Step 3: Cross multiply
    8,496.32x = 12,738.53 × 3,231.64
  4. Step 4: Simplify right side
    8,496.32x = 41,166,319.32
  5. Step 5: Solve for x
    x = 41,166,319.32/8,496.32
  6. Step 6: Final answer
    x = 4,845.19

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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.