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Finding the Fourth Proportional to 11,843.35, 16,343.24 and 6,804

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Solution

The fourth proportional to 11,843.35, 16,343.24 and 6,804 is: 9,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.35 : 16,343.24 = 6,804 : x
  2. Step 2: Convert to fraction form
    11,843.35/16,343.24 = 6,804/x
  3. Step 3: Cross multiply
    11,843.35x = 16,343.24 × 6,804
  4. Step 4: Simplify right side
    11,843.35x = 111,199,370.94
  5. Step 5: Solve for x
    x = 111,199,370.94/11,843.35
  6. Step 6: Final answer
    x = 9,389.18

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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.