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Finding the Fourth Proportional to 8,114.69, 12,172.06 and 2,271.35

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Solution

The fourth proportional to 8,114.69, 12,172.06 and 2,271.35 is: 3,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.69 : 12,172.06 = 2,271.35 : x
  2. Step 2: Convert to fraction form
    8,114.69/12,172.06 = 2,271.35/x
  3. Step 3: Cross multiply
    8,114.69x = 12,172.06 × 2,271.35
  4. Step 4: Simplify right side
    8,114.69x = 27,647,008.48
  5. Step 5: Solve for x
    x = 27,647,008.48/8,114.69
  6. Step 6: Final answer
    x = 3,407.03

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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.