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Finding the Fourth Proportional to 8,171.22, 12,246.07 and 3,238.17

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Solution

The fourth proportional to 8,171.22, 12,246.07 and 3,238.17 is: 4,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.22 : 12,246.07 = 3,238.17 : x
  2. Step 2: Convert to fraction form
    8,171.22/12,246.07 = 3,238.17/x
  3. Step 3: Cross multiply
    8,171.22x = 12,246.07 × 3,238.17
  4. Step 4: Simplify right side
    8,171.22x = 39,654,894.32
  5. Step 5: Solve for x
    x = 39,654,894.32/8,171.22
  6. Step 6: Final answer
    x = 4,852.99

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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.