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Finding the Fourth Proportional to 7,461.42, 11,196.99 and 2,844.42

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Solution

The fourth proportional to 7,461.42, 11,196.99 and 2,844.42 is: 4,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.42 : 11,196.99 = 2,844.42 : x
  2. Step 2: Convert to fraction form
    7,461.42/11,196.99 = 2,844.42/x
  3. Step 3: Cross multiply
    7,461.42x = 11,196.99 × 2,844.42
  4. Step 4: Simplify right side
    7,461.42x = 31,848,942.30
  5. Step 5: Solve for x
    x = 31,848,942.30/7,461.42
  6. Step 6: Final answer
    x = 4,268.48

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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.