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Finding the Fourth Proportional to 7,932.96, 11,900 and 3,001.68

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Solution

The fourth proportional to 7,932.96, 11,900 and 3,001.68 is: 4,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.96 : 11,900 = 3,001.68 : x
  2. Step 2: Convert to fraction form
    7,932.96/11,900 = 3,001.68/x
  3. Step 3: Cross multiply
    7,932.96x = 11,900 × 3,001.68
  4. Step 4: Simplify right side
    7,932.96x = 35,719,992
  5. Step 5: Solve for x
    x = 35,719,992/7,932.96
  6. Step 6: Final answer
    x = 4,502.73

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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.