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Finding the Fourth Proportional to 8,209.16, 11,326.86 and 5,223.92

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Solution

The fourth proportional to 8,209.16, 11,326.86 and 5,223.92 is: 7,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.16 : 11,326.86 = 5,223.92 : x
  2. Step 2: Convert to fraction form
    8,209.16/11,326.86 = 5,223.92/x
  3. Step 3: Cross multiply
    8,209.16x = 11,326.86 × 5,223.92
  4. Step 4: Simplify right side
    8,209.16x = 59,170,610.49
  5. Step 5: Solve for x
    x = 59,170,610.49/8,209.16
  6. Step 6: Final answer
    x = 7,207.88

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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.