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Finding the Fourth Proportional to 7,414.09, 11,119.47 and 2,149.09

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Solution

The fourth proportional to 7,414.09, 11,119.47 and 2,149.09 is: 3,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.09 : 11,119.47 = 2,149.09 : x
  2. Step 2: Convert to fraction form
    7,414.09/11,119.47 = 2,149.09/x
  3. Step 3: Cross multiply
    7,414.09x = 11,119.47 × 2,149.09
  4. Step 4: Simplify right side
    7,414.09x = 23,896,741.78
  5. Step 5: Solve for x
    x = 23,896,741.78/7,414.09
  6. Step 6: Final answer
    x = 3,223.15

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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.