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Finding the Fourth Proportional to 11,744.69, 17,627.03 and 6,202.04

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Solution

The fourth proportional to 11,744.69, 17,627.03 and 6,202.04 is: 9,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.69 : 17,627.03 = 6,202.04 : x
  2. Step 2: Convert to fraction form
    11,744.69/17,627.03 = 6,202.04/x
  3. Step 3: Cross multiply
    11,744.69x = 17,627.03 × 6,202.04
  4. Step 4: Simplify right side
    11,744.69x = 109,323,545.14
  5. Step 5: Solve for x
    x = 109,323,545.14/11,744.69
  6. Step 6: Final answer
    x = 9,308.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.