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Finding the Fourth Proportional to 11,497.86, 17,245.49 and 3,179.07

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Solution

The fourth proportional to 11,497.86, 17,245.49 and 3,179.07 is: 4,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.86 : 17,245.49 = 3,179.07 : x
  2. Step 2: Convert to fraction form
    11,497.86/17,245.49 = 3,179.07/x
  3. Step 3: Cross multiply
    11,497.86x = 17,245.49 × 3,179.07
  4. Step 4: Simplify right side
    11,497.86x = 54,824,604.00
  5. Step 5: Solve for x
    x = 54,824,604.00/11,497.86
  6. Step 6: Final answer
    x = 4,768.24

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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.