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Finding the Fourth Proportional to 8,204.02, 11,324.47 and 4,846.85

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Solution

The fourth proportional to 8,204.02, 11,324.47 and 4,846.85 is: 6,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.02 : 11,324.47 = 4,846.85 : x
  2. Step 2: Convert to fraction form
    8,204.02/11,324.47 = 4,846.85/x
  3. Step 3: Cross multiply
    8,204.02x = 11,324.47 × 4,846.85
  4. Step 4: Simplify right side
    8,204.02x = 54,888,007.42
  5. Step 5: Solve for x
    x = 54,888,007.42/8,204.02
  6. Step 6: Final answer
    x = 6,690.38

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Why These Related Problems?

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