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Finding the Fourth Proportional to 8,393.25, 11,581.41 and 4,855.78

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Solution

The fourth proportional to 8,393.25, 11,581.41 and 4,855.78 is: 6,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.25 : 11,581.41 = 4,855.78 : x
  2. Step 2: Convert to fraction form
    8,393.25/11,581.41 = 4,855.78/x
  3. Step 3: Cross multiply
    8,393.25x = 11,581.41 × 4,855.78
  4. Step 4: Simplify right side
    8,393.25x = 56,236,811.74
  5. Step 5: Solve for x
    x = 56,236,811.74/8,393.25
  6. Step 6: Final answer
    x = 6,700.24

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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.