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Finding the Fourth Proportional to 7,728.92, 11,593.40 and 4,222.44

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Solution

The fourth proportional to 7,728.92, 11,593.40 and 4,222.44 is: 6,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.92 : 11,593.40 = 4,222.44 : x
  2. Step 2: Convert to fraction form
    7,728.92/11,593.40 = 4,222.44/x
  3. Step 3: Cross multiply
    7,728.92x = 11,593.40 × 4,222.44
  4. Step 4: Simplify right side
    7,728.92x = 48,952,435.90
  5. Step 5: Solve for x
    x = 48,952,435.90/7,728.92
  6. Step 6: Final answer
    x = 6,333.67

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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.