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Finding the Fourth Proportional to 7,693.07, 11,539.92 and 3,992.91

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Solution

The fourth proportional to 7,693.07, 11,539.92 and 3,992.91 is: 5,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.07 : 11,539.92 = 3,992.91 : x
  2. Step 2: Convert to fraction form
    7,693.07/11,539.92 = 3,992.91/x
  3. Step 3: Cross multiply
    7,693.07x = 11,539.92 × 3,992.91
  4. Step 4: Simplify right side
    7,693.07x = 46,077,861.97
  5. Step 5: Solve for x
    x = 46,077,861.97/7,693.07
  6. Step 6: Final answer
    x = 5,989.53

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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.