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Finding the Fourth Proportional to 7,704.22, 10,631.77 and 4,167.38

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Solution

The fourth proportional to 7,704.22, 10,631.77 and 4,167.38 is: 5,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.22 : 10,631.77 = 4,167.38 : x
  2. Step 2: Convert to fraction form
    7,704.22/10,631.77 = 4,167.38/x
  3. Step 3: Cross multiply
    7,704.22x = 10,631.77 × 4,167.38
  4. Step 4: Simplify right side
    7,704.22x = 44,306,625.66
  5. Step 5: Solve for x
    x = 44,306,625.66/7,704.22
  6. Step 6: Final answer
    x = 5,750.96

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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.