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Finding the Fourth Proportional to 7,751.72, 11,627.49 and 1,908.38

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Solution

The fourth proportional to 7,751.72, 11,627.49 and 1,908.38 is: 2,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.72 : 11,627.49 = 1,908.38 : x
  2. Step 2: Convert to fraction form
    7,751.72/11,627.49 = 1,908.38/x
  3. Step 3: Cross multiply
    7,751.72x = 11,627.49 × 1,908.38
  4. Step 4: Simplify right side
    7,751.72x = 22,189,659.82
  5. Step 5: Solve for x
    x = 22,189,659.82/7,751.72
  6. Step 6: Final answer
    x = 2,862.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.