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Finding the Fourth Proportional to 7,586.70, 10,469.34 and 4,229.64

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Solution

The fourth proportional to 7,586.70, 10,469.34 and 4,229.64 is: 5,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.70 : 10,469.34 = 4,229.64 : x
  2. Step 2: Convert to fraction form
    7,586.70/10,469.34 = 4,229.64/x
  3. Step 3: Cross multiply
    7,586.70x = 10,469.34 × 4,229.64
  4. Step 4: Simplify right side
    7,586.70x = 44,281,539.24
  5. Step 5: Solve for x
    x = 44,281,539.24/7,586.70
  6. Step 6: Final answer
    x = 5,836.73

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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.