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Finding the Fourth Proportional to 12,112.12, 16,714.62 and 6,806.97

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Solution

The fourth proportional to 12,112.12, 16,714.62 and 6,806.97 is: 9,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.12 : 16,714.62 = 6,806.97 : x
  2. Step 2: Convert to fraction form
    12,112.12/16,714.62 = 6,806.97/x
  3. Step 3: Cross multiply
    12,112.12x = 16,714.62 × 6,806.97
  4. Step 4: Simplify right side
    12,112.12x = 113,775,916.90
  5. Step 5: Solve for x
    x = 113,775,916.90/12,112.12
  6. Step 6: Final answer
    x = 9,393.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.