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Finding the Fourth Proportional to 11,826.40, 16,323.84 and 8,290.48

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Solution

The fourth proportional to 11,826.40, 16,323.84 and 8,290.48 is: 11,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.40 : 16,323.84 = 8,290.48 : x
  2. Step 2: Convert to fraction form
    11,826.40/16,323.84 = 8,290.48/x
  3. Step 3: Cross multiply
    11,826.40x = 16,323.84 × 8,290.48
  4. Step 4: Simplify right side
    11,826.40x = 135,332,469.04
  5. Step 5: Solve for x
    x = 135,332,469.04/11,826.40
  6. Step 6: Final answer
    x = 11,443.25

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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.