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Finding the Fourth Proportional to 8,115.77, 12,172.43 and 2,568.39

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Solution

The fourth proportional to 8,115.77, 12,172.43 and 2,568.39 is: 3,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.77 : 12,172.43 = 2,568.39 : x
  2. Step 2: Convert to fraction form
    8,115.77/12,172.43 = 2,568.39/x
  3. Step 3: Cross multiply
    8,115.77x = 12,172.43 × 2,568.39
  4. Step 4: Simplify right side
    8,115.77x = 31,263,547.49
  5. Step 5: Solve for x
    x = 31,263,547.49/8,115.77
  6. Step 6: Final answer
    x = 3,852.20

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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.