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Finding the Fourth Proportional to 11,608.44, 17,411.04 and 4,214.76

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Solution

The fourth proportional to 11,608.44, 17,411.04 and 4,214.76 is: 6,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.44 : 17,411.04 = 4,214.76 : x
  2. Step 2: Convert to fraction form
    11,608.44/17,411.04 = 4,214.76/x
  3. Step 3: Cross multiply
    11,608.44x = 17,411.04 × 4,214.76
  4. Step 4: Simplify right side
    11,608.44x = 73,383,354.95
  5. Step 5: Solve for x
    x = 73,383,354.95/11,608.44
  6. Step 6: Final answer
    x = 6,321.55

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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.