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Finding the Fourth Proportional to 11,074.88, 16,581.56 and 8,614.50

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Solution

The fourth proportional to 11,074.88, 16,581.56 and 8,614.50 is: 12,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.88 : 16,581.56 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    11,074.88/16,581.56 = 8,614.50/x
  3. Step 3: Cross multiply
    11,074.88x = 16,581.56 × 8,614.50
  4. Step 4: Simplify right side
    11,074.88x = 142,841,885.09
  5. Step 5: Solve for x
    x = 142,841,885.09/11,074.88
  6. Step 6: Final answer
    x = 12,897.83

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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.