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Finding the Fourth Proportional to 11,609.33, 17,403.41 and 4,212.16

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Solution

The fourth proportional to 11,609.33, 17,403.41 and 4,212.16 is: 6,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.33 : 17,403.41 = 4,212.16 : x
  2. Step 2: Convert to fraction form
    11,609.33/17,403.41 = 4,212.16/x
  3. Step 3: Cross multiply
    11,609.33x = 17,403.41 × 4,212.16
  4. Step 4: Simplify right side
    11,609.33x = 73,305,839.39
  5. Step 5: Solve for x
    x = 73,305,839.39/11,609.33
  6. Step 6: Final answer
    x = 6,314.39

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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.