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Finding the Fourth Proportional to 7,491.44, 11,241.32 and 2,811.24

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Solution

The fourth proportional to 7,491.44, 11,241.32 and 2,811.24 is: 4,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.44 : 11,241.32 = 2,811.24 : x
  2. Step 2: Convert to fraction form
    7,491.44/11,241.32 = 2,811.24/x
  3. Step 3: Cross multiply
    7,491.44x = 11,241.32 × 2,811.24
  4. Step 4: Simplify right side
    7,491.44x = 31,602,048.44
  5. Step 5: Solve for x
    x = 31,602,048.44/7,491.44
  6. Step 6: Final answer
    x = 4,218.42

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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.