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Finding the Fourth Proportional to 8,114.14, 12,172.41 and 2,566.23

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Solution

The fourth proportional to 8,114.14, 12,172.41 and 2,566.23 is: 3,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.14 : 12,172.41 = 2,566.23 : x
  2. Step 2: Convert to fraction form
    8,114.14/12,172.41 = 2,566.23/x
  3. Step 3: Cross multiply
    8,114.14x = 12,172.41 × 2,566.23
  4. Step 4: Simplify right side
    8,114.14x = 31,237,203.71
  5. Step 5: Solve for x
    x = 31,237,203.71/8,114.14
  6. Step 6: Final answer
    x = 3,849.72

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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.