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Finding the Fourth Proportional to 7,414.67, 10,233.44 and 4,228.03

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Solution

The fourth proportional to 7,414.67, 10,233.44 and 4,228.03 is: 5,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.67 : 10,233.44 = 4,228.03 : x
  2. Step 2: Convert to fraction form
    7,414.67/10,233.44 = 4,228.03/x
  3. Step 3: Cross multiply
    7,414.67x = 10,233.44 × 4,228.03
  4. Step 4: Simplify right side
    7,414.67x = 43,267,298.83
  5. Step 5: Solve for x
    x = 43,267,298.83/7,414.67
  6. Step 6: Final answer
    x = 5,835.36

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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.