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Finding the Fourth Proportional to 10,105.67, 15,159.72 and 5,173.99

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Solution

The fourth proportional to 10,105.67, 15,159.72 and 5,173.99 is: 7,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.67 : 15,159.72 = 5,173.99 : x
  2. Step 2: Convert to fraction form
    10,105.67/15,159.72 = 5,173.99/x
  3. Step 3: Cross multiply
    10,105.67x = 15,159.72 × 5,173.99
  4. Step 4: Simplify right side
    10,105.67x = 78,436,239.68
  5. Step 5: Solve for x
    x = 78,436,239.68/10,105.67
  6. Step 6: Final answer
    x = 7,761.61

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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.