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Finding the Fourth Proportional to 7,381.77, 11,066.83 and 3,682.09

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Solution

The fourth proportional to 7,381.77, 11,066.83 and 3,682.09 is: 5,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.77 : 11,066.83 = 3,682.09 : x
  2. Step 2: Convert to fraction form
    7,381.77/11,066.83 = 3,682.09/x
  3. Step 3: Cross multiply
    7,381.77x = 11,066.83 × 3,682.09
  4. Step 4: Simplify right side
    7,381.77x = 40,749,064.07
  5. Step 5: Solve for x
    x = 40,749,064.07/7,381.77
  6. Step 6: Final answer
    x = 5,520.23

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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.