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Finding the Fourth Proportional to 7,694.88, 11,543.96 and 2,431.43

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Solution

The fourth proportional to 7,694.88, 11,543.96 and 2,431.43 is: 3,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.88 : 11,543.96 = 2,431.43 : x
  2. Step 2: Convert to fraction form
    7,694.88/11,543.96 = 2,431.43/x
  3. Step 3: Cross multiply
    7,694.88x = 11,543.96 × 2,431.43
  4. Step 4: Simplify right side
    7,694.88x = 28,068,330.66
  5. Step 5: Solve for x
    x = 28,068,330.66/7,694.88
  6. Step 6: Final answer
    x = 3,647.66

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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.