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Finding the Fourth Proportional to 7,938.88, 11,908.32 and 3,832

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Solution

The fourth proportional to 7,938.88, 11,908.32 and 3,832 is: 5,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.88 : 11,908.32 = 3,832 : x
  2. Step 2: Convert to fraction form
    7,938.88/11,908.32 = 3,832/x
  3. Step 3: Cross multiply
    7,938.88x = 11,908.32 × 3,832
  4. Step 4: Simplify right side
    7,938.88x = 45,632,682.24
  5. Step 5: Solve for x
    x = 45,632,682.24/7,938.88
  6. Step 6: Final answer
    x = 5,748

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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.