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Finding the Fourth Proportional to 6,830.76, 10,236.60 and 5,163.50

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Solution

The fourth proportional to 6,830.76, 10,236.60 and 5,163.50 is: 7,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.76 : 10,236.60 = 5,163.50 : x
  2. Step 2: Convert to fraction form
    6,830.76/10,236.60 = 5,163.50/x
  3. Step 3: Cross multiply
    6,830.76x = 10,236.60 × 5,163.50
  4. Step 4: Simplify right side
    6,830.76x = 52,856,684.10
  5. Step 5: Solve for x
    x = 52,856,684.10/6,830.76
  6. Step 6: Final answer
    x = 7,738.04

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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.