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Finding the Fourth Proportional to 10,489.46, 15,734.23 and 4,249.59

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Solution

The fourth proportional to 10,489.46, 15,734.23 and 4,249.59 is: 6,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.46 : 15,734.23 = 4,249.59 : x
  2. Step 2: Convert to fraction form
    10,489.46/15,734.23 = 4,249.59/x
  3. Step 3: Cross multiply
    10,489.46x = 15,734.23 × 4,249.59
  4. Step 4: Simplify right side
    10,489.46x = 66,864,015.84
  5. Step 5: Solve for x
    x = 66,864,015.84/10,489.46
  6. Step 6: Final answer
    x = 6,374.40

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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.