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Finding the Fourth Proportional to 10,422.09, 15,620.85 and 5,489.19

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Solution

The fourth proportional to 10,422.09, 15,620.85 and 5,489.19 is: 8,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.09 : 15,620.85 = 5,489.19 : x
  2. Step 2: Convert to fraction form
    10,422.09/15,620.85 = 5,489.19/x
  3. Step 3: Cross multiply
    10,422.09x = 15,620.85 × 5,489.19
  4. Step 4: Simplify right side
    10,422.09x = 85,745,813.61
  5. Step 5: Solve for x
    x = 85,745,813.61/10,422.09
  6. Step 6: Final answer
    x = 8,227.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.