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Finding the Fourth Proportional to 11,826.12, 16,319.94 and 6,791.16

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Solution

The fourth proportional to 11,826.12, 16,319.94 and 6,791.16 is: 9,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.12 : 16,319.94 = 6,791.16 : x
  2. Step 2: Convert to fraction form
    11,826.12/16,319.94 = 6,791.16/x
  3. Step 3: Cross multiply
    11,826.12x = 16,319.94 × 6,791.16
  4. Step 4: Simplify right side
    11,826.12x = 110,831,323.73
  5. Step 5: Solve for x
    x = 110,831,323.73/11,826.12
  6. Step 6: Final answer
    x = 9,371.74

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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.