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Finding the Fourth Proportional to 11,690.38, 16,149 and 10,431.01

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Solution

The fourth proportional to 11,690.38, 16,149 and 10,431.01 is: 14,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.38 : 16,149 = 10,431.01 : x
  2. Step 2: Convert to fraction form
    11,690.38/16,149 = 10,431.01/x
  3. Step 3: Cross multiply
    11,690.38x = 16,149 × 10,431.01
  4. Step 4: Simplify right side
    11,690.38x = 168,450,380.49
  5. Step 5: Solve for x
    x = 168,450,380.49/11,690.38
  6. Step 6: Final answer
    x = 14,409.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.