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Finding the Fourth Proportional to 7,938.41, 10,954.98 and 4,581.09

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Solution

The fourth proportional to 7,938.41, 10,954.98 and 4,581.09 is: 6,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.41 : 10,954.98 = 4,581.09 : x
  2. Step 2: Convert to fraction form
    7,938.41/10,954.98 = 4,581.09/x
  3. Step 3: Cross multiply
    7,938.41x = 10,954.98 × 4,581.09
  4. Step 4: Simplify right side
    7,938.41x = 50,185,749.33
  5. Step 5: Solve for x
    x = 50,185,749.33/7,938.41
  6. Step 6: Final answer
    x = 6,321.89

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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.