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Finding the Fourth Proportional to 7,226.52, 10,838.82 and 1,961.94

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Solution

The fourth proportional to 7,226.52, 10,838.82 and 1,961.94 is: 2,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.52 : 10,838.82 = 1,961.94 : x
  2. Step 2: Convert to fraction form
    7,226.52/10,838.82 = 1,961.94/x
  3. Step 3: Cross multiply
    7,226.52x = 10,838.82 × 1,961.94
  4. Step 4: Simplify right side
    7,226.52x = 21,265,114.51
  5. Step 5: Solve for x
    x = 21,265,114.51/7,226.52
  6. Step 6: Final answer
    x = 2,942.65

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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.