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Finding the Fourth Proportional to 8,267.08, 12,399.54 and 3,649

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Solution

The fourth proportional to 8,267.08, 12,399.54 and 3,649 is: 5,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.08 : 12,399.54 = 3,649 : x
  2. Step 2: Convert to fraction form
    8,267.08/12,399.54 = 3,649/x
  3. Step 3: Cross multiply
    8,267.08x = 12,399.54 × 3,649
  4. Step 4: Simplify right side
    8,267.08x = 45,245,921.46
  5. Step 5: Solve for x
    x = 45,245,921.46/8,267.08
  6. Step 6: Final answer
    x = 5,473.02

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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.