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Finding the Fourth Proportional to 10,489.41, 15,734.16 and 4,249.54

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Solution

The fourth proportional to 10,489.41, 15,734.16 and 4,249.54 is: 6,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.41 : 15,734.16 = 4,249.54 : x
  2. Step 2: Convert to fraction form
    10,489.41/15,734.16 = 4,249.54/x
  3. Step 3: Cross multiply
    10,489.41x = 15,734.16 × 4,249.54
  4. Step 4: Simplify right side
    10,489.41x = 66,862,926.35
  5. Step 5: Solve for x
    x = 66,862,926.35/10,489.41
  6. Step 6: Final answer
    x = 6,374.33

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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.