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Finding the Fourth Proportional to 8,361.36, 12,542.66 and 2,814.68

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Solution

The fourth proportional to 8,361.36, 12,542.66 and 2,814.68 is: 4,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.36 : 12,542.66 = 2,814.68 : x
  2. Step 2: Convert to fraction form
    8,361.36/12,542.66 = 2,814.68/x
  3. Step 3: Cross multiply
    8,361.36x = 12,542.66 × 2,814.68
  4. Step 4: Simplify right side
    8,361.36x = 35,303,574.25
  5. Step 5: Solve for x
    x = 35,303,574.25/8,361.36
  6. Step 6: Final answer
    x = 4,222.23

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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.