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Finding the Fourth Proportional to 8,234.44, 11,364.66 and 5,049.64

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Solution

The fourth proportional to 8,234.44, 11,364.66 and 5,049.64 is: 6,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.44 : 11,364.66 = 5,049.64 : x
  2. Step 2: Convert to fraction form
    8,234.44/11,364.66 = 5,049.64/x
  3. Step 3: Cross multiply
    8,234.44x = 11,364.66 × 5,049.64
  4. Step 4: Simplify right side
    8,234.44x = 57,387,441.72
  5. Step 5: Solve for x
    x = 57,387,441.72/8,234.44
  6. Step 6: Final answer
    x = 6,969.20

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