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Finding the Fourth Proportional to 11,271.98, 16,877.72 and 9,183.44

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Solution

The fourth proportional to 11,271.98, 16,877.72 and 9,183.44 is: 13,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.98 : 16,877.72 = 9,183.44 : x
  2. Step 2: Convert to fraction form
    11,271.98/16,877.72 = 9,183.44/x
  3. Step 3: Cross multiply
    11,271.98x = 16,877.72 × 9,183.44
  4. Step 4: Simplify right side
    11,271.98x = 154,995,528.96
  5. Step 5: Solve for x
    x = 154,995,528.96/11,271.98
  6. Step 6: Final answer
    x = 13,750.51

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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.