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Finding the Fourth Proportional to 11,853.39, 16,358.94 and 6,817.83

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Solution

The fourth proportional to 11,853.39, 16,358.94 and 6,817.83 is: 9,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.39 : 16,358.94 = 6,817.83 : x
  2. Step 2: Convert to fraction form
    11,853.39/16,358.94 = 6,817.83/x
  3. Step 3: Cross multiply
    11,853.39x = 16,358.94 × 6,817.83
  4. Step 4: Simplify right side
    11,853.39x = 111,532,471.90
  5. Step 5: Solve for x
    x = 111,532,471.90/11,853.39
  6. Step 6: Final answer
    x = 9,409.33

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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.