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Finding the Fourth Proportional to 12,106.39, 16,705.92 and 6,802.09

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Solution

The fourth proportional to 12,106.39, 16,705.92 and 6,802.09 is: 9,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.39 : 16,705.92 = 6,802.09 : x
  2. Step 2: Convert to fraction form
    12,106.39/16,705.92 = 6,802.09/x
  3. Step 3: Cross multiply
    12,106.39x = 16,705.92 × 6,802.09
  4. Step 4: Simplify right side
    12,106.39x = 113,635,171.37
  5. Step 5: Solve for x
    x = 113,635,171.37/12,106.39
  6. Step 6: Final answer
    x = 9,386.38

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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.