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Finding the Fourth Proportional to 8,110.26, 12,171.06 and 3,180.06

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Solution

The fourth proportional to 8,110.26, 12,171.06 and 3,180.06 is: 4,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.26 : 12,171.06 = 3,180.06 : x
  2. Step 2: Convert to fraction form
    8,110.26/12,171.06 = 3,180.06/x
  3. Step 3: Cross multiply
    8,110.26x = 12,171.06 × 3,180.06
  4. Step 4: Simplify right side
    8,110.26x = 38,704,701.06
  5. Step 5: Solve for x
    x = 38,704,701.06/8,110.26
  6. Step 6: Final answer
    x = 4,772.31

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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.