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Finding the Fourth Proportional to 8,363.52, 12,546.96 and 2,520.64

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Solution

The fourth proportional to 8,363.52, 12,546.96 and 2,520.64 is: 3,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.52 : 12,546.96 = 2,520.64 : x
  2. Step 2: Convert to fraction form
    8,363.52/12,546.96 = 2,520.64/x
  3. Step 3: Cross multiply
    8,363.52x = 12,546.96 × 2,520.64
  4. Step 4: Simplify right side
    8,363.52x = 31,626,369.25
  5. Step 5: Solve for x
    x = 31,626,369.25/8,363.52
  6. Step 6: Final answer
    x = 3,781.47

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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.