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Finding the Fourth Proportional to 11,770.26, 16,238.23 and 7,520.22

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Solution

The fourth proportional to 11,770.26, 16,238.23 and 7,520.22 is: 10,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.26 : 16,238.23 = 7,520.22 : x
  2. Step 2: Convert to fraction form
    11,770.26/16,238.23 = 7,520.22/x
  3. Step 3: Cross multiply
    11,770.26x = 16,238.23 × 7,520.22
  4. Step 4: Simplify right side
    11,770.26x = 122,115,024.41
  5. Step 5: Solve for x
    x = 122,115,024.41/11,770.26
  6. Step 6: Final answer
    x = 10,374.88

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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.