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Finding the Fourth Proportional to 11,771.86, 17,653.27 and 5,013.16

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Solution

The fourth proportional to 11,771.86, 17,653.27 and 5,013.16 is: 7,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.86 : 17,653.27 = 5,013.16 : x
  2. Step 2: Convert to fraction form
    11,771.86/17,653.27 = 5,013.16/x
  3. Step 3: Cross multiply
    11,771.86x = 17,653.27 × 5,013.16
  4. Step 4: Simplify right side
    11,771.86x = 88,498,610.37
  5. Step 5: Solve for x
    x = 88,498,610.37/11,771.86
  6. Step 6: Final answer
    x = 7,517.81

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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.