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Finding the Fourth Proportional to 7,709.38, 11,552.91 and 4,196.41

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Solution

The fourth proportional to 7,709.38, 11,552.91 and 4,196.41 is: 6,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.38 : 11,552.91 = 4,196.41 : x
  2. Step 2: Convert to fraction form
    7,709.38/11,552.91 = 4,196.41/x
  3. Step 3: Cross multiply
    7,709.38x = 11,552.91 × 4,196.41
  4. Step 4: Simplify right side
    7,709.38x = 48,480,747.05
  5. Step 5: Solve for x
    x = 48,480,747.05/7,709.38
  6. Step 6: Final answer
    x = 6,288.54

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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.