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Finding the Fourth Proportional to 8,239.37, 11,369.23 and 4,654.31

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Solution

The fourth proportional to 8,239.37, 11,369.23 and 4,654.31 is: 6,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.37 : 11,369.23 = 4,654.31 : x
  2. Step 2: Convert to fraction form
    8,239.37/11,369.23 = 4,654.31/x
  3. Step 3: Cross multiply
    8,239.37x = 11,369.23 × 4,654.31
  4. Step 4: Simplify right side
    8,239.37x = 52,915,852.40
  5. Step 5: Solve for x
    x = 52,915,852.40/8,239.37
  6. Step 6: Final answer
    x = 6,422.32

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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.