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Finding the Fourth Proportional to 8,561.88, 12,841.78 and 2,321.50

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Solution

The fourth proportional to 8,561.88, 12,841.78 and 2,321.50 is: 3,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.88 : 12,841.78 = 2,321.50 : x
  2. Step 2: Convert to fraction form
    8,561.88/12,841.78 = 2,321.50/x
  3. Step 3: Cross multiply
    8,561.88x = 12,841.78 × 2,321.50
  4. Step 4: Simplify right side
    8,561.88x = 29,812,192.27
  5. Step 5: Solve for x
    x = 29,812,192.27/8,561.88
  6. Step 6: Final answer
    x = 3,481.97

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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.