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Finding the Fourth Proportional to 7,481.63, 11,222.44 and 2,864.63

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Solution

The fourth proportional to 7,481.63, 11,222.44 and 2,864.63 is: 4,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.63 : 11,222.44 = 2,864.63 : x
  2. Step 2: Convert to fraction form
    7,481.63/11,222.44 = 2,864.63/x
  3. Step 3: Cross multiply
    7,481.63x = 11,222.44 × 2,864.63
  4. Step 4: Simplify right side
    7,481.63x = 32,148,075.02
  5. Step 5: Solve for x
    x = 32,148,075.02/7,481.63
  6. Step 6: Final answer
    x = 4,296.94

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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.