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Finding the Fourth Proportional to 8,546.43, 12,811.73 and 4,377.26

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Solution

The fourth proportional to 8,546.43, 12,811.73 and 4,377.26 is: 6,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.43 : 12,811.73 = 4,377.26 : x
  2. Step 2: Convert to fraction form
    8,546.43/12,811.73 = 4,377.26/x
  3. Step 3: Cross multiply
    8,546.43x = 12,811.73 × 4,377.26
  4. Step 4: Simplify right side
    8,546.43x = 56,080,187.31
  5. Step 5: Solve for x
    x = 56,080,187.31/8,546.43
  6. Step 6: Final answer
    x = 6,561.83

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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.