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Finding the Fourth Proportional to 7,442.56, 11,162.22 and 2,247.22

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Solution

The fourth proportional to 7,442.56, 11,162.22 and 2,247.22 is: 3,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.56 : 11,162.22 = 2,247.22 : x
  2. Step 2: Convert to fraction form
    7,442.56/11,162.22 = 2,247.22/x
  3. Step 3: Cross multiply
    7,442.56x = 11,162.22 × 2,247.22
  4. Step 4: Simplify right side
    7,442.56x = 25,083,964.03
  5. Step 5: Solve for x
    x = 25,083,964.03/7,442.56
  6. Step 6: Final answer
    x = 3,370.34

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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.