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Finding the Fourth Proportional to 8,420.90, 11,620.92 and 4,644.21

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Solution

The fourth proportional to 8,420.90, 11,620.92 and 4,644.21 is: 6,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.90 : 11,620.92 = 4,644.21 : x
  2. Step 2: Convert to fraction form
    8,420.90/11,620.92 = 4,644.21/x
  3. Step 3: Cross multiply
    8,420.90x = 11,620.92 × 4,644.21
  4. Step 4: Simplify right side
    8,420.90x = 53,969,992.87
  5. Step 5: Solve for x
    x = 53,969,992.87/8,420.90
  6. Step 6: Final answer
    x = 6,409.06

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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.