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Finding the Fourth Proportional to 7,412.85, 11,119.21 and 3,027.23

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Solution

The fourth proportional to 7,412.85, 11,119.21 and 3,027.23 is: 4,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.85 : 11,119.21 = 3,027.23 : x
  2. Step 2: Convert to fraction form
    7,412.85/11,119.21 = 3,027.23/x
  3. Step 3: Cross multiply
    7,412.85x = 11,119.21 × 3,027.23
  4. Step 4: Simplify right side
    7,412.85x = 33,660,426.32
  5. Step 5: Solve for x
    x = 33,660,426.32/7,412.85
  6. Step 6: Final answer
    x = 4,540.82

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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.