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Finding the Fourth Proportional to 11,771.57, 17,657.32 and 3,006.48

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Solution

The fourth proportional to 11,771.57, 17,657.32 and 3,006.48 is: 4,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.57 : 17,657.32 = 3,006.48 : x
  2. Step 2: Convert to fraction form
    11,771.57/17,657.32 = 3,006.48/x
  3. Step 3: Cross multiply
    11,771.57x = 17,657.32 × 3,006.48
  4. Step 4: Simplify right side
    11,771.57x = 53,086,379.43
  5. Step 5: Solve for x
    x = 53,086,379.43/11,771.57
  6. Step 6: Final answer
    x = 4,509.71

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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.