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Finding the Fourth Proportional to 11,714.70, 17,570.22 and 3,923.58

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Solution

The fourth proportional to 11,714.70, 17,570.22 and 3,923.58 is: 5,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.70 : 17,570.22 = 3,923.58 : x
  2. Step 2: Convert to fraction form
    11,714.70/17,570.22 = 3,923.58/x
  3. Step 3: Cross multiply
    11,714.70x = 17,570.22 × 3,923.58
  4. Step 4: Simplify right side
    11,714.70x = 68,938,163.79
  5. Step 5: Solve for x
    x = 68,938,163.79/11,714.70
  6. Step 6: Final answer
    x = 5,884.76

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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.