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Finding the Fourth Proportional to 11,753.10, 17,630.87 and 8,089.88

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Solution

The fourth proportional to 11,753.10, 17,630.87 and 8,089.88 is: 12,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.10 : 17,630.87 = 8,089.88 : x
  2. Step 2: Convert to fraction form
    11,753.10/17,630.87 = 8,089.88/x
  3. Step 3: Cross multiply
    11,753.10x = 17,630.87 × 8,089.88
  4. Step 4: Simplify right side
    11,753.10x = 142,631,493.99
  5. Step 5: Solve for x
    x = 142,631,493.99/11,753.10
  6. Step 6: Final answer
    x = 12,135.65

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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.