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Finding the Fourth Proportional to 8,506.26, 11,738.46 and 4,729.41

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Solution

The fourth proportional to 8,506.26, 11,738.46 and 4,729.41 is: 6,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.26 : 11,738.46 = 4,729.41 : x
  2. Step 2: Convert to fraction form
    8,506.26/11,738.46 = 4,729.41/x
  3. Step 3: Cross multiply
    8,506.26x = 11,738.46 × 4,729.41
  4. Step 4: Simplify right side
    8,506.26x = 55,515,990.11
  5. Step 5: Solve for x
    x = 55,515,990.11/8,506.26
  6. Step 6: Final answer
    x = 6,526.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.