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Finding the Fourth Proportional to 7,745.32, 10,647.56 and 6,664.57

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Solution

The fourth proportional to 7,745.32, 10,647.56 and 6,664.57 is: 9,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.32 : 10,647.56 = 6,664.57 : x
  2. Step 2: Convert to fraction form
    7,745.32/10,647.56 = 6,664.57/x
  3. Step 3: Cross multiply
    7,745.32x = 10,647.56 × 6,664.57
  4. Step 4: Simplify right side
    7,745.32x = 70,961,440.55
  5. Step 5: Solve for x
    x = 70,961,440.55/7,745.32
  6. Step 6: Final answer
    x = 9,161.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.