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Finding the Fourth Proportional to 11,795.42, 17,693.12 and 8,086.41

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Solution

The fourth proportional to 11,795.42, 17,693.12 and 8,086.41 is: 12,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.42 : 17,693.12 = 8,086.41 : x
  2. Step 2: Convert to fraction form
    11,795.42/17,693.12 = 8,086.41/x
  3. Step 3: Cross multiply
    11,795.42x = 17,693.12 × 8,086.41
  4. Step 4: Simplify right side
    11,795.42x = 143,073,822.50
  5. Step 5: Solve for x
    x = 143,073,822.50/11,795.42
  6. Step 6: Final answer
    x = 12,129.61

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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.