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Finding the Fourth Proportional to 10,171.98, 15,241.37 and 5,234.63

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Solution

The fourth proportional to 10,171.98, 15,241.37 and 5,234.63 is: 7,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.98 : 15,241.37 = 5,234.63 : x
  2. Step 2: Convert to fraction form
    10,171.98/15,241.37 = 5,234.63/x
  3. Step 3: Cross multiply
    10,171.98x = 15,241.37 × 5,234.63
  4. Step 4: Simplify right side
    10,171.98x = 79,782,830.26
  5. Step 5: Solve for x
    x = 79,782,830.26/10,171.98
  6. Step 6: Final answer
    x = 7,843.39

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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.