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Finding the Fourth Proportional to 11,804, 16,289.52 and 6,836

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Solution

The fourth proportional to 11,804, 16,289.52 and 6,836 is: 9,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804 : 16,289.52 = 6,836 : x
  2. Step 2: Convert to fraction form
    11,804/16,289.52 = 6,836/x
  3. Step 3: Cross multiply
    11,804x = 16,289.52 × 6,836
  4. Step 4: Simplify right side
    11,804x = 111,355,158.72
  5. Step 5: Solve for x
    x = 111,355,158.72/11,804
  6. Step 6: Final answer
    x = 9,433.68

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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.