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Finding the Fourth Proportional to 7,362.96, 11,041.92 and 2,431.44

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Solution

The fourth proportional to 7,362.96, 11,041.92 and 2,431.44 is: 3,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.96 : 11,041.92 = 2,431.44 : x
  2. Step 2: Convert to fraction form
    7,362.96/11,041.92 = 2,431.44/x
  3. Step 3: Cross multiply
    7,362.96x = 11,041.92 × 2,431.44
  4. Step 4: Simplify right side
    7,362.96x = 26,847,765.96
  5. Step 5: Solve for x
    x = 26,847,765.96/7,362.96
  6. Step 6: Final answer
    x = 3,646.33

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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.