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Finding the Fourth Proportional to 7,694.88, 11,539.62 and 2,695.92

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Solution

The fourth proportional to 7,694.88, 11,539.62 and 2,695.92 is: 4,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.88 : 11,539.62 = 2,695.92 : x
  2. Step 2: Convert to fraction form
    7,694.88/11,539.62 = 2,695.92/x
  3. Step 3: Cross multiply
    7,694.88x = 11,539.62 × 2,695.92
  4. Step 4: Simplify right side
    7,694.88x = 31,109,892.35
  5. Step 5: Solve for x
    x = 31,109,892.35/7,694.88
  6. Step 6: Final answer
    x = 4,042.93

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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.