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Finding the Fourth Proportional to 8,114.94, 12,172.38 and 3,181.10

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Solution

The fourth proportional to 8,114.94, 12,172.38 and 3,181.10 is: 4,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.94 : 12,172.38 = 3,181.10 : x
  2. Step 2: Convert to fraction form
    8,114.94/12,172.38 = 3,181.10/x
  3. Step 3: Cross multiply
    8,114.94x = 12,172.38 × 3,181.10
  4. Step 4: Simplify right side
    8,114.94x = 38,721,558.02
  5. Step 5: Solve for x
    x = 38,721,558.02/8,114.94
  6. Step 6: Final answer
    x = 4,771.64

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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.