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Finding the Fourth Proportional to 7,745.76, 10,672.56 and 6,794.28

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Solution

The fourth proportional to 7,745.76, 10,672.56 and 6,794.28 is: 9,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.76 : 10,672.56 = 6,794.28 : x
  2. Step 2: Convert to fraction form
    7,745.76/10,672.56 = 6,794.28/x
  3. Step 3: Cross multiply
    7,745.76x = 10,672.56 × 6,794.28
  4. Step 4: Simplify right side
    7,745.76x = 72,512,360.96
  5. Step 5: Solve for x
    x = 72,512,360.96/7,745.76
  6. Step 6: Final answer
    x = 9,361.56

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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.