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Finding the Fourth Proportional to 8,584.17, 12,874.53 and 2,343.66

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Solution

The fourth proportional to 8,584.17, 12,874.53 and 2,343.66 is: 3,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.17 : 12,874.53 = 2,343.66 : x
  2. Step 2: Convert to fraction form
    8,584.17/12,874.53 = 2,343.66/x
  3. Step 3: Cross multiply
    8,584.17x = 12,874.53 × 2,343.66
  4. Step 4: Simplify right side
    8,584.17x = 30,173,520.98
  5. Step 5: Solve for x
    x = 30,173,520.98/8,584.17
  6. Step 6: Final answer
    x = 3,515.02

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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.