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Finding the Fourth Proportional to 6,778.50, 10,157.26 and 4,702.54

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Solution

The fourth proportional to 6,778.50, 10,157.26 and 4,702.54 is: 7,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.50 : 10,157.26 = 4,702.54 : x
  2. Step 2: Convert to fraction form
    6,778.50/10,157.26 = 4,702.54/x
  3. Step 3: Cross multiply
    6,778.50x = 10,157.26 × 4,702.54
  4. Step 4: Simplify right side
    6,778.50x = 47,764,921.44
  5. Step 5: Solve for x
    x = 47,764,921.44/6,778.50
  6. Step 6: Final answer
    x = 7,046.53

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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.