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Finding the Fourth Proportional to 11,002.57, 16,505.49 and 3,983.11

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Solution

The fourth proportional to 11,002.57, 16,505.49 and 3,983.11 is: 5,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.57 : 16,505.49 = 3,983.11 : x
  2. Step 2: Convert to fraction form
    11,002.57/16,505.49 = 3,983.11/x
  3. Step 3: Cross multiply
    11,002.57x = 16,505.49 × 3,983.11
  4. Step 4: Simplify right side
    11,002.57x = 65,743,182.27
  5. Step 5: Solve for x
    x = 65,743,182.27/11,002.57
  6. Step 6: Final answer
    x = 5,975.26

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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.