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Finding the Fourth Proportional to 8,496.53, 12,739.74 and 3,231.92

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Solution

The fourth proportional to 8,496.53, 12,739.74 and 3,231.92 is: 4,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.53 : 12,739.74 = 3,231.92 : x
  2. Step 2: Convert to fraction form
    8,496.53/12,739.74 = 3,231.92/x
  3. Step 3: Cross multiply
    8,496.53x = 12,739.74 × 3,231.92
  4. Step 4: Simplify right side
    8,496.53x = 41,173,820.50
  5. Step 5: Solve for x
    x = 41,173,820.50/8,496.53
  6. Step 6: Final answer
    x = 4,845.96

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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.