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Finding the Fourth Proportional to 8,361.75, 12,543.44 and 2,816.49

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Solution

The fourth proportional to 8,361.75, 12,543.44 and 2,816.49 is: 4,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.75 : 12,543.44 = 2,816.49 : x
  2. Step 2: Convert to fraction form
    8,361.75/12,543.44 = 2,816.49/x
  3. Step 3: Cross multiply
    8,361.75x = 12,543.44 × 2,816.49
  4. Step 4: Simplify right side
    8,361.75x = 35,328,459.24
  5. Step 5: Solve for x
    x = 35,328,459.24/8,361.75
  6. Step 6: Final answer
    x = 4,225.01

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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.