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Finding the Fourth Proportional to 7,940.16, 11,900.52 and 7,745.76

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Solution

The fourth proportional to 7,940.16, 11,900.52 and 7,745.76 is: 11,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.16 : 11,900.52 = 7,745.76 : x
  2. Step 2: Convert to fraction form
    7,940.16/11,900.52 = 7,745.76/x
  3. Step 3: Cross multiply
    7,940.16x = 11,900.52 × 7,745.76
  4. Step 4: Simplify right side
    7,940.16x = 92,178,571.80
  5. Step 5: Solve for x
    x = 92,178,571.80/7,940.16
  6. Step 6: Final answer
    x = 11,609.16

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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.