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Finding the Fourth Proportional to 10,405.75, 15,608.64 and 4,249.75

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Solution

The fourth proportional to 10,405.75, 15,608.64 and 4,249.75 is: 6,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.75 : 15,608.64 = 4,249.75 : x
  2. Step 2: Convert to fraction form
    10,405.75/15,608.64 = 4,249.75/x
  3. Step 3: Cross multiply
    10,405.75x = 15,608.64 × 4,249.75
  4. Step 4: Simplify right side
    10,405.75x = 66,332,817.84
  5. Step 5: Solve for x
    x = 66,332,817.84/10,405.75
  6. Step 6: Final answer
    x = 6,374.63

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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.