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Finding the Fourth Proportional to 8,383.82, 11,571.76 and 4,846.52

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Solution

The fourth proportional to 8,383.82, 11,571.76 and 4,846.52 is: 6,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.82 : 11,571.76 = 4,846.52 : x
  2. Step 2: Convert to fraction form
    8,383.82/11,571.76 = 4,846.52/x
  3. Step 3: Cross multiply
    8,383.82x = 11,571.76 × 4,846.52
  4. Step 4: Simplify right side
    8,383.82x = 56,082,766.28
  5. Step 5: Solve for x
    x = 56,082,766.28/8,383.82
  6. Step 6: Final answer
    x = 6,689.40

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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.