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Finding the Fourth Proportional to 10,249.76, 15,379.49 and 6,097.97

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Solution

The fourth proportional to 10,249.76, 15,379.49 and 6,097.97 is: 9,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.76 : 15,379.49 = 6,097.97 : x
  2. Step 2: Convert to fraction form
    10,249.76/15,379.49 = 6,097.97/x
  3. Step 3: Cross multiply
    10,249.76x = 15,379.49 × 6,097.97
  4. Step 4: Simplify right side
    10,249.76x = 93,783,606.98
  5. Step 5: Solve for x
    x = 93,783,606.98/10,249.76
  6. Step 6: Final answer
    x = 9,149.84

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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.