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Finding the Fourth Proportional to 8,249.21, 11,389.10 and 5,730.51

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Solution

The fourth proportional to 8,249.21, 11,389.10 and 5,730.51 is: 7,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.21 : 11,389.10 = 5,730.51 : x
  2. Step 2: Convert to fraction form
    8,249.21/11,389.10 = 5,730.51/x
  3. Step 3: Cross multiply
    8,249.21x = 11,389.10 × 5,730.51
  4. Step 4: Simplify right side
    8,249.21x = 65,265,351.44
  5. Step 5: Solve for x
    x = 65,265,351.44/8,249.21
  6. Step 6: Final answer
    x = 7,911.71

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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.