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Finding the Fourth Proportional to 7,728.92, 11,586.22 and 4,213.72

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Solution

The fourth proportional to 7,728.92, 11,586.22 and 4,213.72 is: 6,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.92 : 11,586.22 = 4,213.72 : x
  2. Step 2: Convert to fraction form
    7,728.92/11,586.22 = 4,213.72/x
  3. Step 3: Cross multiply
    7,728.92x = 11,586.22 × 4,213.72
  4. Step 4: Simplify right side
    7,728.92x = 48,821,086.94
  5. Step 5: Solve for x
    x = 48,821,086.94/7,728.92
  6. Step 6: Final answer
    x = 6,316.68

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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.