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Finding the Fourth Proportional to 10,576.52, 15,865.08 and 3,181.16

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Solution

The fourth proportional to 10,576.52, 15,865.08 and 3,181.16 is: 4,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.52 : 15,865.08 = 3,181.16 : x
  2. Step 2: Convert to fraction form
    10,576.52/15,865.08 = 3,181.16/x
  3. Step 3: Cross multiply
    10,576.52x = 15,865.08 × 3,181.16
  4. Step 4: Simplify right side
    10,576.52x = 50,469,357.89
  5. Step 5: Solve for x
    x = 50,469,357.89/10,576.52
  6. Step 6: Final answer
    x = 4,771.83

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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.