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Finding the Fourth Proportional to 11,967.69, 17,951.51 and 3,647.78

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Solution

The fourth proportional to 11,967.69, 17,951.51 and 3,647.78 is: 5,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.69 : 17,951.51 = 3,647.78 : x
  2. Step 2: Convert to fraction form
    11,967.69/17,951.51 = 3,647.78/x
  3. Step 3: Cross multiply
    11,967.69x = 17,951.51 × 3,647.78
  4. Step 4: Simplify right side
    11,967.69x = 65,483,069.39
  5. Step 5: Solve for x
    x = 65,483,069.39/11,967.69
  6. Step 6: Final answer
    x = 5,471.65

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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.