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Finding the Fourth Proportional to 11,423.52, 17,133.61 and 4,027

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Solution

The fourth proportional to 11,423.52, 17,133.61 and 4,027 is: 6,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.52 : 17,133.61 = 4,027 : x
  2. Step 2: Convert to fraction form
    11,423.52/17,133.61 = 4,027/x
  3. Step 3: Cross multiply
    11,423.52x = 17,133.61 × 4,027
  4. Step 4: Simplify right side
    11,423.52x = 68,997,047.47
  5. Step 5: Solve for x
    x = 68,997,047.47/11,423.52
  6. Step 6: Final answer
    x = 6,039.91

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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.