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Finding the Fourth Proportional to 11,609.93, 17,416.42 and 4,213.32

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Solution

The fourth proportional to 11,609.93, 17,416.42 and 4,213.32 is: 6,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.93 : 17,416.42 = 4,213.32 : x
  2. Step 2: Convert to fraction form
    11,609.93/17,416.42 = 4,213.32/x
  3. Step 3: Cross multiply
    11,609.93x = 17,416.42 × 4,213.32
  4. Step 4: Simplify right side
    11,609.93x = 73,380,874.87
  5. Step 5: Solve for x
    x = 73,380,874.87/11,609.93
  6. Step 6: Final answer
    x = 6,320.53

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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.