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Finding the Fourth Proportional to 8,543.27, 12,810.24 and 3,857.78

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Solution

The fourth proportional to 8,543.27, 12,810.24 and 3,857.78 is: 5,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.27 : 12,810.24 = 3,857.78 : x
  2. Step 2: Convert to fraction form
    8,543.27/12,810.24 = 3,857.78/x
  3. Step 3: Cross multiply
    8,543.27x = 12,810.24 × 3,857.78
  4. Step 4: Simplify right side
    8,543.27x = 49,419,119.69
  5. Step 5: Solve for x
    x = 49,419,119.69/8,543.27
  6. Step 6: Final answer
    x = 5,784.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.