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Finding the Fourth Proportional to 8,563.84, 12,847.44 and 3,633.44

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Solution

The fourth proportional to 8,563.84, 12,847.44 and 3,633.44 is: 5,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.84 : 12,847.44 = 3,633.44 : x
  2. Step 2: Convert to fraction form
    8,563.84/12,847.44 = 3,633.44/x
  3. Step 3: Cross multiply
    8,563.84x = 12,847.44 × 3,633.44
  4. Step 4: Simplify right side
    8,563.84x = 46,680,402.39
  5. Step 5: Solve for x
    x = 46,680,402.39/8,563.84
  6. Step 6: Final answer
    x = 5,450.87

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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.