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Finding the Fourth Proportional to 11,713.01, 17,571.27 and 3,920

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Solution

The fourth proportional to 11,713.01, 17,571.27 and 3,920 is: 5,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.01 : 17,571.27 = 3,920 : x
  2. Step 2: Convert to fraction form
    11,713.01/17,571.27 = 3,920/x
  3. Step 3: Cross multiply
    11,713.01x = 17,571.27 × 3,920
  4. Step 4: Simplify right side
    11,713.01x = 68,879,378.40
  5. Step 5: Solve for x
    x = 68,879,378.40/11,713.01
  6. Step 6: Final answer
    x = 5,880.59

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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.