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Finding the Fourth Proportional to 8,405.70, 12,596.67 and 3,472.26

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Solution

The fourth proportional to 8,405.70, 12,596.67 and 3,472.26 is: 5,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.70 : 12,596.67 = 3,472.26 : x
  2. Step 2: Convert to fraction form
    8,405.70/12,596.67 = 3,472.26/x
  3. Step 3: Cross multiply
    8,405.70x = 12,596.67 × 3,472.26
  4. Step 4: Simplify right side
    8,405.70x = 43,738,913.37
  5. Step 5: Solve for x
    x = 43,738,913.37/8,405.70
  6. Step 6: Final answer
    x = 5,203.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.