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Finding the Fourth Proportional to 8,441.30, 11,648.83 and 4,664.38

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Solution

The fourth proportional to 8,441.30, 11,648.83 and 4,664.38 is: 6,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.30 : 11,648.83 = 4,664.38 : x
  2. Step 2: Convert to fraction form
    8,441.30/11,648.83 = 4,664.38/x
  3. Step 3: Cross multiply
    8,441.30x = 11,648.83 × 4,664.38
  4. Step 4: Simplify right side
    8,441.30x = 54,334,558.01
  5. Step 5: Solve for x
    x = 54,334,558.01/8,441.30
  6. Step 6: Final answer
    x = 6,436.76

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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.