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Finding the Fourth Proportional to 8,264.62, 12,389.44 and 2,998.41

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Solution

The fourth proportional to 8,264.62, 12,389.44 and 2,998.41 is: 4,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.62 : 12,389.44 = 2,998.41 : x
  2. Step 2: Convert to fraction form
    8,264.62/12,389.44 = 2,998.41/x
  3. Step 3: Cross multiply
    8,264.62x = 12,389.44 × 2,998.41
  4. Step 4: Simplify right side
    8,264.62x = 37,148,620.79
  5. Step 5: Solve for x
    x = 37,148,620.79/8,264.62
  6. Step 6: Final answer
    x = 4,494.90

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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.