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Finding the Fourth Proportional to 7,586.01, 10,469.46 and 4,229.37

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Solution

The fourth proportional to 7,586.01, 10,469.46 and 4,229.37 is: 5,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.01 : 10,469.46 = 4,229.37 : x
  2. Step 2: Convert to fraction form
    7,586.01/10,469.46 = 4,229.37/x
  3. Step 3: Cross multiply
    7,586.01x = 10,469.46 × 4,229.37
  4. Step 4: Simplify right side
    7,586.01x = 44,279,220.04
  5. Step 5: Solve for x
    x = 44,279,220.04/7,586.01
  6. Step 6: Final answer
    x = 5,836.96

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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.