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Finding the Fourth Proportional to 7,586.56, 10,469.35 and 4,229.31

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Solution

The fourth proportional to 7,586.56, 10,469.35 and 4,229.31 is: 5,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.56 : 10,469.35 = 4,229.31 : x
  2. Step 2: Convert to fraction form
    7,586.56/10,469.35 = 4,229.31/x
  3. Step 3: Cross multiply
    7,586.56x = 10,469.35 × 4,229.31
  4. Step 4: Simplify right side
    7,586.56x = 44,278,126.65
  5. Step 5: Solve for x
    x = 44,278,126.65/7,586.56
  6. Step 6: Final answer
    x = 5,836.39

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Why These Related Problems?

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