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Finding the Fourth Proportional to 8,243.68, 12,360.32 and 4,548.49

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Solution

The fourth proportional to 8,243.68, 12,360.32 and 4,548.49 is: 6,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.68 : 12,360.32 = 4,548.49 : x
  2. Step 2: Convert to fraction form
    8,243.68/12,360.32 = 4,548.49/x
  3. Step 3: Cross multiply
    8,243.68x = 12,360.32 × 4,548.49
  4. Step 4: Simplify right side
    8,243.68x = 56,220,791.92
  5. Step 5: Solve for x
    x = 56,220,791.92/8,243.68
  6. Step 6: Final answer
    x = 6,819.87

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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.