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Finding the Fourth Proportional to 11,449.41, 17,173.94 and 8,349.09

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Solution

The fourth proportional to 11,449.41, 17,173.94 and 8,349.09 is: 12,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.41 : 17,173.94 = 8,349.09 : x
  2. Step 2: Convert to fraction form
    11,449.41/17,173.94 = 8,349.09/x
  3. Step 3: Cross multiply
    11,449.41x = 17,173.94 × 8,349.09
  4. Step 4: Simplify right side
    11,449.41x = 143,386,728.97
  5. Step 5: Solve for x
    x = 143,386,728.97/11,449.41
  6. Step 6: Final answer
    x = 12,523.50

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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.