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Finding the Fourth Proportional to 8,243.50, 12,361.55 and 4,913.32

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Solution

The fourth proportional to 8,243.50, 12,361.55 and 4,913.32 is: 7,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.50 : 12,361.55 = 4,913.32 : x
  2. Step 2: Convert to fraction form
    8,243.50/12,361.55 = 4,913.32/x
  3. Step 3: Cross multiply
    8,243.50x = 12,361.55 × 4,913.32
  4. Step 4: Simplify right side
    8,243.50x = 60,736,250.85
  5. Step 5: Solve for x
    x = 60,736,250.85/8,243.50
  6. Step 6: Final answer
    x = 7,367.77

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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.