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Finding the Fourth Proportional to 12,112.97, 16,714.08 and 6,806.77

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Solution

The fourth proportional to 12,112.97, 16,714.08 and 6,806.77 is: 9,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.97 : 16,714.08 = 6,806.77 : x
  2. Step 2: Convert to fraction form
    12,112.97/16,714.08 = 6,806.77/x
  3. Step 3: Cross multiply
    12,112.97x = 16,714.08 × 6,806.77
  4. Step 4: Simplify right side
    12,112.97x = 113,768,856.54
  5. Step 5: Solve for x
    x = 113,768,856.54/12,112.97
  6. Step 6: Final answer
    x = 9,392.32

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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.