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Finding the Fourth Proportional to 7,408.97, 10,222.67 and 4,424.22

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Solution

The fourth proportional to 7,408.97, 10,222.67 and 4,424.22 is: 6,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.97 : 10,222.67 = 4,424.22 : x
  2. Step 2: Convert to fraction form
    7,408.97/10,222.67 = 4,424.22/x
  3. Step 3: Cross multiply
    7,408.97x = 10,222.67 × 4,424.22
  4. Step 4: Simplify right side
    7,408.97x = 45,227,352.13
  5. Step 5: Solve for x
    x = 45,227,352.13/7,408.97
  6. Step 6: Final answer
    x = 6,104.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.