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Finding the Fourth Proportional to 8,272.33, 12,406.06 and 3,529.27

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Solution

The fourth proportional to 8,272.33, 12,406.06 and 3,529.27 is: 5,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.33 : 12,406.06 = 3,529.27 : x
  2. Step 2: Convert to fraction form
    8,272.33/12,406.06 = 3,529.27/x
  3. Step 3: Cross multiply
    8,272.33x = 12,406.06 × 3,529.27
  4. Step 4: Simplify right side
    8,272.33x = 43,784,335.38
  5. Step 5: Solve for x
    x = 43,784,335.38/8,272.33
  6. Step 6: Final answer
    x = 5,292.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.