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Finding the Fourth Proportional to 7,555.67, 10,426.96 and 4,198.79

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Solution

The fourth proportional to 7,555.67, 10,426.96 and 4,198.79 is: 5,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.67 : 10,426.96 = 4,198.79 : x
  2. Step 2: Convert to fraction form
    7,555.67/10,426.96 = 4,198.79/x
  3. Step 3: Cross multiply
    7,555.67x = 10,426.96 × 4,198.79
  4. Step 4: Simplify right side
    7,555.67x = 43,780,615.38
  5. Step 5: Solve for x
    x = 43,780,615.38/7,555.67
  6. Step 6: Final answer
    x = 5,794.41

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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.