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Finding the Fourth Proportional to 8,543.40, 12,814.56 and 3,863.76

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Solution

The fourth proportional to 8,543.40, 12,814.56 and 3,863.76 is: 5,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.40 : 12,814.56 = 3,863.76 : x
  2. Step 2: Convert to fraction form
    8,543.40/12,814.56 = 3,863.76/x
  3. Step 3: Cross multiply
    8,543.40x = 12,814.56 × 3,863.76
  4. Step 4: Simplify right side
    8,543.40x = 49,512,384.35
  5. Step 5: Solve for x
    x = 49,512,384.35/8,543.40
  6. Step 6: Final answer
    x = 5,795.40

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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.