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Finding the Fourth Proportional to 8,112.66, 12,172.17 and 3,181.46

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Solution

The fourth proportional to 8,112.66, 12,172.17 and 3,181.46 is: 4,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.66 : 12,172.17 = 3,181.46 : x
  2. Step 2: Convert to fraction form
    8,112.66/12,172.17 = 3,181.46/x
  3. Step 3: Cross multiply
    8,112.66x = 12,172.17 × 3,181.46
  4. Step 4: Simplify right side
    8,112.66x = 38,725,271.97
  5. Step 5: Solve for x
    x = 38,725,271.97/8,112.66
  6. Step 6: Final answer
    x = 4,773.44

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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.