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Finding the Fourth Proportional to 8,544.50, 12,813.67 and 3,614.52

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Solution

The fourth proportional to 8,544.50, 12,813.67 and 3,614.52 is: 5,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.50 : 12,813.67 = 3,614.52 : x
  2. Step 2: Convert to fraction form
    8,544.50/12,813.67 = 3,614.52/x
  3. Step 3: Cross multiply
    8,544.50x = 12,813.67 × 3,614.52
  4. Step 4: Simplify right side
    8,544.50x = 46,315,266.49
  5. Step 5: Solve for x
    x = 46,315,266.49/8,544.50
  6. Step 6: Final answer
    x = 5,420.48

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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.