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Finding the Fourth Proportional to 8,114.42, 12,172.06 and 2,568.35

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Solution

The fourth proportional to 8,114.42, 12,172.06 and 2,568.35 is: 3,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.42 : 12,172.06 = 2,568.35 : x
  2. Step 2: Convert to fraction form
    8,114.42/12,172.06 = 2,568.35/x
  3. Step 3: Cross multiply
    8,114.42x = 12,172.06 × 2,568.35
  4. Step 4: Simplify right side
    8,114.42x = 31,262,110.30
  5. Step 5: Solve for x
    x = 31,262,110.30/8,114.42
  6. Step 6: Final answer
    x = 3,852.66

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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.