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Finding the Fourth Proportional to 8,361.44, 12,544.08 and 2,814.64

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Solution

The fourth proportional to 8,361.44, 12,544.08 and 2,814.64 is: 4,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.44 : 12,544.08 = 2,814.64 : x
  2. Step 2: Convert to fraction form
    8,361.44/12,544.08 = 2,814.64/x
  3. Step 3: Cross multiply
    8,361.44x = 12,544.08 × 2,814.64
  4. Step 4: Simplify right side
    8,361.44x = 35,307,006.61
  5. Step 5: Solve for x
    x = 35,307,006.61/8,361.44
  6. Step 6: Final answer
    x = 4,222.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.