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Finding the Fourth Proportional to 8,064.40, 12,096.60 and 4,775.80

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Solution

The fourth proportional to 8,064.40, 12,096.60 and 4,775.80 is: 7,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.40 : 12,096.60 = 4,775.80 : x
  2. Step 2: Convert to fraction form
    8,064.40/12,096.60 = 4,775.80/x
  3. Step 3: Cross multiply
    8,064.40x = 12,096.60 × 4,775.80
  4. Step 4: Simplify right side
    8,064.40x = 57,770,942.28
  5. Step 5: Solve for x
    x = 57,770,942.28/8,064.40
  6. Step 6: Final answer
    x = 7,163.70

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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.