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Finding the Fourth Proportional to 8,114.58, 12,172.41 and 2,568.15

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Solution

The fourth proportional to 8,114.58, 12,172.41 and 2,568.15 is: 3,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.58 : 12,172.41 = 2,568.15 : x
  2. Step 2: Convert to fraction form
    8,114.58/12,172.41 = 2,568.15/x
  3. Step 3: Cross multiply
    8,114.58x = 12,172.41 × 2,568.15
  4. Step 4: Simplify right side
    8,114.58x = 31,260,574.74
  5. Step 5: Solve for x
    x = 31,260,574.74/8,114.58
  6. Step 6: Final answer
    x = 3,852.40

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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.