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Finding the Fourth Proportional to 10,077, 13,906.32 and 5,884.44

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Solution

The fourth proportional to 10,077, 13,906.32 and 5,884.44 is: 8,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077 : 13,906.32 = 5,884.44 : x
  2. Step 2: Convert to fraction form
    10,077/13,906.32 = 5,884.44/x
  3. Step 3: Cross multiply
    10,077x = 13,906.32 × 5,884.44
  4. Step 4: Simplify right side
    10,077x = 81,830,905.66
  5. Step 5: Solve for x
    x = 81,830,905.66/10,077
  6. Step 6: Final answer
    x = 8,120.56

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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.