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Finding the Fourth Proportional to 11,575.69, 15,974.34 and 6,270.19

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Solution

The fourth proportional to 11,575.69, 15,974.34 and 6,270.19 is: 8,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.69 : 15,974.34 = 6,270.19 : x
  2. Step 2: Convert to fraction form
    11,575.69/15,974.34 = 6,270.19/x
  3. Step 3: Cross multiply
    11,575.69x = 15,974.34 × 6,270.19
  4. Step 4: Simplify right side
    11,575.69x = 100,162,067.05
  5. Step 5: Solve for x
    x = 100,162,067.05/11,575.69
  6. Step 6: Final answer
    x = 8,652.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.