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Finding the Fourth Proportional to 11,230.64, 16,846 and 3,439.42

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Solution

The fourth proportional to 11,230.64, 16,846 and 3,439.42 is: 5,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.64 : 16,846 = 3,439.42 : x
  2. Step 2: Convert to fraction form
    11,230.64/16,846 = 3,439.42/x
  3. Step 3: Cross multiply
    11,230.64x = 16,846 × 3,439.42
  4. Step 4: Simplify right side
    11,230.64x = 57,940,469.32
  5. Step 5: Solve for x
    x = 57,940,469.32/11,230.64
  6. Step 6: Final answer
    x = 5,159.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.