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Finding the Fourth Proportional to 8,543.70, 12,811.70 and 3,610.80

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Solution

The fourth proportional to 8,543.70, 12,811.70 and 3,610.80 is: 5,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.70 : 12,811.70 = 3,610.80 : x
  2. Step 2: Convert to fraction form
    8,543.70/12,811.70 = 3,610.80/x
  3. Step 3: Cross multiply
    8,543.70x = 12,811.70 × 3,610.80
  4. Step 4: Simplify right side
    8,543.70x = 46,260,486.36
  5. Step 5: Solve for x
    x = 46,260,486.36/8,543.70
  6. Step 6: Final answer
    x = 5,414.57

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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.