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Finding the Fourth Proportional to 8,543.88, 12,820.38 and 3,349.80

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Solution

The fourth proportional to 8,543.88, 12,820.38 and 3,349.80 is: 5,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.88 : 12,820.38 = 3,349.80 : x
  2. Step 2: Convert to fraction form
    8,543.88/12,820.38 = 3,349.80/x
  3. Step 3: Cross multiply
    8,543.88x = 12,820.38 × 3,349.80
  4. Step 4: Simplify right side
    8,543.88x = 42,945,708.92
  5. Step 5: Solve for x
    x = 42,945,708.92/8,543.88
  6. Step 6: Final answer
    x = 5,026.49

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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.