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Finding the Fourth Proportional to 10,019.41, 15,035.25 and 5,092.57

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Solution

The fourth proportional to 10,019.41, 15,035.25 and 5,092.57 is: 7,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.41 : 15,035.25 = 5,092.57 : x
  2. Step 2: Convert to fraction form
    10,019.41/15,035.25 = 5,092.57/x
  3. Step 3: Cross multiply
    10,019.41x = 15,035.25 × 5,092.57
  4. Step 4: Simplify right side
    10,019.41x = 76,568,063.09
  5. Step 5: Solve for x
    x = 76,568,063.09/10,019.41
  6. Step 6: Final answer
    x = 7,641.97

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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.