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Finding the Fourth Proportional to 11,879.49, 17,802.23 and 6,674.43

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Solution

The fourth proportional to 11,879.49, 17,802.23 and 6,674.43 is: 10,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.49 : 17,802.23 = 6,674.43 : x
  2. Step 2: Convert to fraction form
    11,879.49/17,802.23 = 6,674.43/x
  3. Step 3: Cross multiply
    11,879.49x = 17,802.23 × 6,674.43
  4. Step 4: Simplify right side
    11,879.49x = 118,819,704.61
  5. Step 5: Solve for x
    x = 118,819,704.61/11,879.49
  6. Step 6: Final answer
    x = 10,002.09

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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.