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Finding the Fourth Proportional to 7,194.15, 10,794.33 and 5,221.96

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Solution

The fourth proportional to 7,194.15, 10,794.33 and 5,221.96 is: 7,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.15 : 10,794.33 = 5,221.96 : x
  2. Step 2: Convert to fraction form
    7,194.15/10,794.33 = 5,221.96/x
  3. Step 3: Cross multiply
    7,194.15x = 10,794.33 × 5,221.96
  4. Step 4: Simplify right side
    7,194.15x = 56,367,532.50
  5. Step 5: Solve for x
    x = 56,367,532.50/7,194.15
  6. Step 6: Final answer
    x = 7,835.19

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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.