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Finding the Fourth Proportional to 7,708.78, 10,638.19 and 4,172.07

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Solution

The fourth proportional to 7,708.78, 10,638.19 and 4,172.07 is: 5,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.78 : 10,638.19 = 4,172.07 : x
  2. Step 2: Convert to fraction form
    7,708.78/10,638.19 = 4,172.07/x
  3. Step 3: Cross multiply
    7,708.78x = 10,638.19 × 4,172.07
  4. Step 4: Simplify right side
    7,708.78x = 44,383,318.46
  5. Step 5: Solve for x
    x = 44,383,318.46/7,708.78
  6. Step 6: Final answer
    x = 5,757.50

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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.