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Finding the Fourth Proportional to 8,297.24, 12,445.83 and 6,833.34

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Solution

The fourth proportional to 8,297.24, 12,445.83 and 6,833.34 is: 10,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.24 : 12,445.83 = 6,833.34 : x
  2. Step 2: Convert to fraction form
    8,297.24/12,445.83 = 6,833.34/x
  3. Step 3: Cross multiply
    8,297.24x = 12,445.83 × 6,833.34
  4. Step 4: Simplify right side
    8,297.24x = 85,046,587.97
  5. Step 5: Solve for x
    x = 85,046,587.97/8,297.24
  6. Step 6: Final answer
    x = 10,249.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.