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Finding the Fourth Proportional to 11,728.10, 16,183.05 and 6,690.98

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Solution

The fourth proportional to 11,728.10, 16,183.05 and 6,690.98 is: 9,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.10 : 16,183.05 = 6,690.98 : x
  2. Step 2: Convert to fraction form
    11,728.10/16,183.05 = 6,690.98/x
  3. Step 3: Cross multiply
    11,728.10x = 16,183.05 × 6,690.98
  4. Step 4: Simplify right side
    11,728.10x = 108,280,463.89
  5. Step 5: Solve for x
    x = 108,280,463.89/11,728.10
  6. Step 6: Final answer
    x = 9,232.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.