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Finding the Fourth Proportional to 6,367.11, 8,786.39 and 3,534.61

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Solution

The fourth proportional to 6,367.11, 8,786.39 and 3,534.61 is: 4,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.11 : 8,786.39 = 3,534.61 : x
  2. Step 2: Convert to fraction form
    6,367.11/8,786.39 = 3,534.61/x
  3. Step 3: Cross multiply
    6,367.11x = 8,786.39 × 3,534.61
  4. Step 4: Simplify right side
    6,367.11x = 31,056,422.32
  5. Step 5: Solve for x
    x = 31,056,422.32/6,367.11
  6. Step 6: Final answer
    x = 4,877.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.