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Finding the Fourth Proportional to 8,245.96, 11,394.49 and 6,003.93

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Solution

The fourth proportional to 8,245.96, 11,394.49 and 6,003.93 is: 8,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.96 : 11,394.49 = 6,003.93 : x
  2. Step 2: Convert to fraction form
    8,245.96/11,394.49 = 6,003.93/x
  3. Step 3: Cross multiply
    8,245.96x = 11,394.49 × 6,003.93
  4. Step 4: Simplify right side
    8,245.96x = 68,411,735.36
  5. Step 5: Solve for x
    x = 68,411,735.36/8,245.96
  6. Step 6: Final answer
    x = 8,296.39

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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.