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Finding the Fourth Proportional to 7,708.76, 10,638.09 and 4,171.97

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Solution

The fourth proportional to 7,708.76, 10,638.09 and 4,171.97 is: 5,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.76 : 10,638.09 = 4,171.97 : x
  2. Step 2: Convert to fraction form
    7,708.76/10,638.09 = 4,171.97/x
  3. Step 3: Cross multiply
    7,708.76x = 10,638.09 × 4,171.97
  4. Step 4: Simplify right side
    7,708.76x = 44,381,744.88
  5. Step 5: Solve for x
    x = 44,381,744.88/7,708.76
  6. Step 6: Final answer
    x = 5,757.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.