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Finding the Fourth Proportional to 10,199.82, 15,269.85 and 7,744.26

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Solution

The fourth proportional to 10,199.82, 15,269.85 and 7,744.26 is: 11,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.82 : 15,269.85 = 7,744.26 : x
  2. Step 2: Convert to fraction form
    10,199.82/15,269.85 = 7,744.26/x
  3. Step 3: Cross multiply
    10,199.82x = 15,269.85 × 7,744.26
  4. Step 4: Simplify right side
    10,199.82x = 118,253,688.56
  5. Step 5: Solve for x
    x = 118,253,688.56/10,199.82
  6. Step 6: Final answer
    x = 11,593.70

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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.