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Finding the Fourth Proportional to 7,586.94, 10,469.34 and 4,229.49

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Solution

The fourth proportional to 7,586.94, 10,469.34 and 4,229.49 is: 5,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.94 : 10,469.34 = 4,229.49 : x
  2. Step 2: Convert to fraction form
    7,586.94/10,469.34 = 4,229.49/x
  3. Step 3: Cross multiply
    7,586.94x = 10,469.34 × 4,229.49
  4. Step 4: Simplify right side
    7,586.94x = 44,279,968.84
  5. Step 5: Solve for x
    x = 44,279,968.84/7,586.94
  6. Step 6: Final answer
    x = 5,836.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.