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Finding the Fourth Proportional to 11,783.41, 17,674.64 and 3,992.22

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Solution

The fourth proportional to 11,783.41, 17,674.64 and 3,992.22 is: 5,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.41 : 17,674.64 = 3,992.22 : x
  2. Step 2: Convert to fraction form
    11,783.41/17,674.64 = 3,992.22/x
  3. Step 3: Cross multiply
    11,783.41x = 17,674.64 × 3,992.22
  4. Step 4: Simplify right side
    11,783.41x = 70,561,046.31
  5. Step 5: Solve for x
    x = 70,561,046.31/11,783.41
  6. Step 6: Final answer
    x = 5,988.17

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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.