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Finding the Fourth Proportional to 11,713.58, 17,570.46 and 3,923

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Solution

The fourth proportional to 11,713.58, 17,570.46 and 3,923 is: 5,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.58 : 17,570.46 = 3,923 : x
  2. Step 2: Convert to fraction form
    11,713.58/17,570.46 = 3,923/x
  3. Step 3: Cross multiply
    11,713.58x = 17,570.46 × 3,923
  4. Step 4: Simplify right side
    11,713.58x = 68,928,914.58
  5. Step 5: Solve for x
    x = 68,928,914.58/11,713.58
  6. Step 6: Final answer
    x = 5,884.53

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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.