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Finding the Fourth Proportional to 10,297.94, 15,453.25 and 4,056.85

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Solution

The fourth proportional to 10,297.94, 15,453.25 and 4,056.85 is: 6,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.94 : 15,453.25 = 4,056.85 : x
  2. Step 2: Convert to fraction form
    10,297.94/15,453.25 = 4,056.85/x
  3. Step 3: Cross multiply
    10,297.94x = 15,453.25 × 4,056.85
  4. Step 4: Simplify right side
    10,297.94x = 62,691,526.44
  5. Step 5: Solve for x
    x = 62,691,526.44/10,297.94
  6. Step 6: Final answer
    x = 6,087.78

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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.