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Finding the Fourth Proportional to 8,489.14, 12,730.56 and 2,941

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Solution

The fourth proportional to 8,489.14, 12,730.56 and 2,941 is: 4,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.14 : 12,730.56 = 2,941 : x
  2. Step 2: Convert to fraction form
    8,489.14/12,730.56 = 2,941/x
  3. Step 3: Cross multiply
    8,489.14x = 12,730.56 × 2,941
  4. Step 4: Simplify right side
    8,489.14x = 37,440,576.96
  5. Step 5: Solve for x
    x = 37,440,576.96/8,489.14
  6. Step 6: Final answer
    x = 4,410.41

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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.