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Finding the Fourth Proportional to 11,608.64, 17,414.96 and 4,110.12

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Solution

The fourth proportional to 11,608.64, 17,414.96 and 4,110.12 is: 6,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.64 : 17,414.96 = 4,110.12 : x
  2. Step 2: Convert to fraction form
    11,608.64/17,414.96 = 4,110.12/x
  3. Step 3: Cross multiply
    11,608.64x = 17,414.96 × 4,110.12
  4. Step 4: Simplify right side
    11,608.64x = 71,577,575.40
  5. Step 5: Solve for x
    x = 71,577,575.40/11,608.64
  6. Step 6: Final answer
    x = 6,165.89

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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.