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Finding the Fourth Proportional to 7,704.45, 11,556.27 and 4,197.15

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Solution

The fourth proportional to 7,704.45, 11,556.27 and 4,197.15 is: 6,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.45 : 11,556.27 = 4,197.15 : x
  2. Step 2: Convert to fraction form
    7,704.45/11,556.27 = 4,197.15/x
  3. Step 3: Cross multiply
    7,704.45x = 11,556.27 × 4,197.15
  4. Step 4: Simplify right side
    7,704.45x = 48,503,398.63
  5. Step 5: Solve for x
    x = 48,503,398.63/7,704.45
  6. Step 6: Final answer
    x = 6,295.50

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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.