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Finding the Fourth Proportional to 8,420.24, 11,620.46 and 4,836.31

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Solution

The fourth proportional to 8,420.24, 11,620.46 and 4,836.31 is: 6,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.24 : 11,620.46 = 4,836.31 : x
  2. Step 2: Convert to fraction form
    8,420.24/11,620.46 = 4,836.31/x
  3. Step 3: Cross multiply
    8,420.24x = 11,620.46 × 4,836.31
  4. Step 4: Simplify right side
    8,420.24x = 56,200,168.10
  5. Step 5: Solve for x
    x = 56,200,168.10/8,420.24
  6. Step 6: Final answer
    x = 6,674.42

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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.