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Finding the Fourth Proportional to 8,244, 11,376.72 and 4,518

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Solution

The fourth proportional to 8,244, 11,376.72 and 4,518 is: 6,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244 : 11,376.72 = 4,518 : x
  2. Step 2: Convert to fraction form
    8,244/11,376.72 = 4,518/x
  3. Step 3: Cross multiply
    8,244x = 11,376.72 × 4,518
  4. Step 4: Simplify right side
    8,244x = 51,400,020.96
  5. Step 5: Solve for x
    x = 51,400,020.96/8,244
  6. Step 6: Final answer
    x = 6,234.84

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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.