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Finding the Fourth Proportional to 10,007.97, 15,010.74 and 4,163.82

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Solution

The fourth proportional to 10,007.97, 15,010.74 and 4,163.82 is: 6,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.97 : 15,010.74 = 4,163.82 : x
  2. Step 2: Convert to fraction form
    10,007.97/15,010.74 = 4,163.82/x
  3. Step 3: Cross multiply
    10,007.97x = 15,010.74 × 4,163.82
  4. Step 4: Simplify right side
    10,007.97x = 62,502,019.43
  5. Step 5: Solve for x
    x = 62,502,019.43/10,007.97
  6. Step 6: Final answer
    x = 6,245.22

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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.