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Finding the Fourth Proportional to 6,833.21, 10,249.82 and 5,275.49

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Solution

The fourth proportional to 6,833.21, 10,249.82 and 5,275.49 is: 7,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.21 : 10,249.82 = 5,275.49 : x
  2. Step 2: Convert to fraction form
    6,833.21/10,249.82 = 5,275.49/x
  3. Step 3: Cross multiply
    6,833.21x = 10,249.82 × 5,275.49
  4. Step 4: Simplify right side
    6,833.21x = 54,072,822.91
  5. Step 5: Solve for x
    x = 54,072,822.91/6,833.21
  6. Step 6: Final answer
    x = 7,913.24

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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.