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Finding the Fourth Proportional to 7,441.89, 11,165.27 and 3,742.22

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Solution

The fourth proportional to 7,441.89, 11,165.27 and 3,742.22 is: 5,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.89 : 11,165.27 = 3,742.22 : x
  2. Step 2: Convert to fraction form
    7,441.89/11,165.27 = 3,742.22/x
  3. Step 3: Cross multiply
    7,441.89x = 11,165.27 × 3,742.22
  4. Step 4: Simplify right side
    7,441.89x = 41,782,822.16
  5. Step 5: Solve for x
    x = 41,782,822.16/7,441.89
  6. Step 6: Final answer
    x = 5,614.54

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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.