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Finding the Fourth Proportional to 7,596.46, 11,395.90 and 3,213.95

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Solution

The fourth proportional to 7,596.46, 11,395.90 and 3,213.95 is: 4,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.46 : 11,395.90 = 3,213.95 : x
  2. Step 2: Convert to fraction form
    7,596.46/11,395.90 = 3,213.95/x
  3. Step 3: Cross multiply
    7,596.46x = 11,395.90 × 3,213.95
  4. Step 4: Simplify right side
    7,596.46x = 36,625,900.52
  5. Step 5: Solve for x
    x = 36,625,900.52/7,596.46
  6. Step 6: Final answer
    x = 4,821.44

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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.