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Finding the Fourth Proportional to 10,162.65, 15,243.78 and 5,229.39

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Solution

The fourth proportional to 10,162.65, 15,243.78 and 5,229.39 is: 7,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.65 : 15,243.78 = 5,229.39 : x
  2. Step 2: Convert to fraction form
    10,162.65/15,243.78 = 5,229.39/x
  3. Step 3: Cross multiply
    10,162.65x = 15,243.78 × 5,229.39
  4. Step 4: Simplify right side
    10,162.65x = 79,715,670.69
  5. Step 5: Solve for x
    x = 79,715,670.69/10,162.65
  6. Step 6: Final answer
    x = 7,843.98

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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.