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Finding the Fourth Proportional to 8,420.37, 11,620.80 and 4,644.27

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Solution

The fourth proportional to 8,420.37, 11,620.80 and 4,644.27 is: 6,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.37 : 11,620.80 = 4,644.27 : x
  2. Step 2: Convert to fraction form
    8,420.37/11,620.80 = 4,644.27/x
  3. Step 3: Cross multiply
    8,420.37x = 11,620.80 × 4,644.27
  4. Step 4: Simplify right side
    8,420.37x = 53,970,176.39
  5. Step 5: Solve for x
    x = 53,970,176.39/8,420.37
  6. Step 6: Final answer
    x = 6,409.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.