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Finding the Fourth Proportional to 8,419.96, 12,630.09 and 2,576.56

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Solution

The fourth proportional to 8,419.96, 12,630.09 and 2,576.56 is: 3,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.96 : 12,630.09 = 2,576.56 : x
  2. Step 2: Convert to fraction form
    8,419.96/12,630.09 = 2,576.56/x
  3. Step 3: Cross multiply
    8,419.96x = 12,630.09 × 2,576.56
  4. Step 4: Simplify right side
    8,419.96x = 32,542,184.69
  5. Step 5: Solve for x
    x = 32,542,184.69/8,419.96
  6. Step 6: Final answer
    x = 3,864.89

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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.