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Finding the Fourth Proportional to 8,497.10, 12,744.41 and 2,257.49

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Solution

The fourth proportional to 8,497.10, 12,744.41 and 2,257.49 is: 3,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.10 : 12,744.41 = 2,257.49 : x
  2. Step 2: Convert to fraction form
    8,497.10/12,744.41 = 2,257.49/x
  3. Step 3: Cross multiply
    8,497.10x = 12,744.41 × 2,257.49
  4. Step 4: Simplify right side
    8,497.10x = 28,770,303.12
  5. Step 5: Solve for x
    x = 28,770,303.12/8,497.10
  6. Step 6: Final answer
    x = 3,385.90

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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.