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Finding the Fourth Proportional to 7,728.72, 11,586.12 and 2,797.20

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Solution

The fourth proportional to 7,728.72, 11,586.12 and 2,797.20 is: 4,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.72 : 11,586.12 = 2,797.20 : x
  2. Step 2: Convert to fraction form
    7,728.72/11,586.12 = 2,797.20/x
  3. Step 3: Cross multiply
    7,728.72x = 11,586.12 × 2,797.20
  4. Step 4: Simplify right side
    7,728.72x = 32,408,694.86
  5. Step 5: Solve for x
    x = 32,408,694.86/7,728.72
  6. Step 6: Final answer
    x = 4,193.28

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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.