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Finding the Fourth Proportional to 7,786.21, 10,744.81 and 4,249.42

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Solution

The fourth proportional to 7,786.21, 10,744.81 and 4,249.42 is: 5,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.21 : 10,744.81 = 4,249.42 : x
  2. Step 2: Convert to fraction form
    7,786.21/10,744.81 = 4,249.42/x
  3. Step 3: Cross multiply
    7,786.21x = 10,744.81 × 4,249.42
  4. Step 4: Simplify right side
    7,786.21x = 45,659,210.51
  5. Step 5: Solve for x
    x = 45,659,210.51/7,786.21
  6. Step 6: Final answer
    x = 5,864.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.