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Finding the Fourth Proportional to 11,826.80, 16,321.08 and 6,791.12

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Solution

The fourth proportional to 11,826.80, 16,321.08 and 6,791.12 is: 9,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.80 : 16,321.08 = 6,791.12 : x
  2. Step 2: Convert to fraction form
    11,826.80/16,321.08 = 6,791.12/x
  3. Step 3: Cross multiply
    11,826.80x = 16,321.08 × 6,791.12
  4. Step 4: Simplify right side
    11,826.80x = 110,838,412.81
  5. Step 5: Solve for x
    x = 110,838,412.81/11,826.80
  6. Step 6: Final answer
    x = 9,371.80

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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.