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Finding the Fourth Proportional to 8,361.31, 12,543.81 and 2,814.47

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Solution

The fourth proportional to 8,361.31, 12,543.81 and 2,814.47 is: 4,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.31 : 12,543.81 = 2,814.47 : x
  2. Step 2: Convert to fraction form
    8,361.31/12,543.81 = 2,814.47/x
  3. Step 3: Cross multiply
    8,361.31x = 12,543.81 × 2,814.47
  4. Step 4: Simplify right side
    8,361.31x = 35,304,150.70
  5. Step 5: Solve for x
    x = 35,304,150.70/8,361.31
  6. Step 6: Final answer
    x = 4,222.32

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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.