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Finding the Fourth Proportional to 11,707.58, 17,563.80 and 3,917

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Solution

The fourth proportional to 11,707.58, 17,563.80 and 3,917 is: 5,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.58 : 17,563.80 = 3,917 : x
  2. Step 2: Convert to fraction form
    11,707.58/17,563.80 = 3,917/x
  3. Step 3: Cross multiply
    11,707.58x = 17,563.80 × 3,917
  4. Step 4: Simplify right side
    11,707.58x = 68,797,404.60
  5. Step 5: Solve for x
    x = 68,797,404.60/11,707.58
  6. Step 6: Final answer
    x = 5,876.31

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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.