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Finding the Fourth Proportional to 8,499.47, 12,741.89 and 3,231.54

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Solution

The fourth proportional to 8,499.47, 12,741.89 and 3,231.54 is: 4,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.47 : 12,741.89 = 3,231.54 : x
  2. Step 2: Convert to fraction form
    8,499.47/12,741.89 = 3,231.54/x
  3. Step 3: Cross multiply
    8,499.47x = 12,741.89 × 3,231.54
  4. Step 4: Simplify right side
    8,499.47x = 41,175,911.05
  5. Step 5: Solve for x
    x = 41,175,911.05/8,499.47
  6. Step 6: Final answer
    x = 4,844.53

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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.