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Finding the Fourth Proportional to 8,561.87, 12,841.77 and 2,321.49

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Solution

The fourth proportional to 8,561.87, 12,841.77 and 2,321.49 is: 3,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.87 : 12,841.77 = 2,321.49 : x
  2. Step 2: Convert to fraction form
    8,561.87/12,841.77 = 2,321.49/x
  3. Step 3: Cross multiply
    8,561.87x = 12,841.77 × 2,321.49
  4. Step 4: Simplify right side
    8,561.87x = 29,812,097.50
  5. Step 5: Solve for x
    x = 29,812,097.50/8,561.87
  6. Step 6: Final answer
    x = 3,481.96

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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.