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Finding the Fourth Proportional to 8,504.31, 11,736.05 and 4,778.31

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Solution

The fourth proportional to 8,504.31, 11,736.05 and 4,778.31 is: 6,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.31 : 11,736.05 = 4,778.31 : x
  2. Step 2: Convert to fraction form
    8,504.31/11,736.05 = 4,778.31/x
  3. Step 3: Cross multiply
    8,504.31x = 11,736.05 × 4,778.31
  4. Step 4: Simplify right side
    8,504.31x = 56,078,485.08
  5. Step 5: Solve for x
    x = 56,078,485.08/8,504.31
  6. Step 6: Final answer
    x = 6,594.13

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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.