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Finding the Fourth Proportional to 7,708.89, 10,638.23 and 4,172.10

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Solution

The fourth proportional to 7,708.89, 10,638.23 and 4,172.10 is: 5,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.89 : 10,638.23 = 4,172.10 : x
  2. Step 2: Convert to fraction form
    7,708.89/10,638.23 = 4,172.10/x
  3. Step 3: Cross multiply
    7,708.89x = 10,638.23 × 4,172.10
  4. Step 4: Simplify right side
    7,708.89x = 44,383,759.38
  5. Step 5: Solve for x
    x = 44,383,759.38/7,708.89
  6. Step 6: Final answer
    x = 5,757.48

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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.