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Finding the Fourth Proportional to 11,783.16, 17,674.28 and 3,991.98

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Solution

The fourth proportional to 11,783.16, 17,674.28 and 3,991.98 is: 5,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.16 : 17,674.28 = 3,991.98 : x
  2. Step 2: Convert to fraction form
    11,783.16/17,674.28 = 3,991.98/x
  3. Step 3: Cross multiply
    11,783.16x = 17,674.28 × 3,991.98
  4. Step 4: Simplify right side
    11,783.16x = 70,555,372.27
  5. Step 5: Solve for x
    x = 70,555,372.27/11,783.16
  6. Step 6: Final answer
    x = 5,987.81

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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.