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Finding the Fourth Proportional to 6,889.44, 10,329.84 and 4,546.96

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Solution

The fourth proportional to 6,889.44, 10,329.84 and 4,546.96 is: 6,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.44 : 10,329.84 = 4,546.96 : x
  2. Step 2: Convert to fraction form
    6,889.44/10,329.84 = 4,546.96/x
  3. Step 3: Cross multiply
    6,889.44x = 10,329.84 × 4,546.96
  4. Step 4: Simplify right side
    6,889.44x = 46,969,369.29
  5. Step 5: Solve for x
    x = 46,969,369.29/6,889.44
  6. Step 6: Final answer
    x = 6,817.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.