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Finding the Fourth Proportional to 7,687.27, 10,609.23 and 4,705.09

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Solution

The fourth proportional to 7,687.27, 10,609.23 and 4,705.09 is: 6,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.27 : 10,609.23 = 4,705.09 : x
  2. Step 2: Convert to fraction form
    7,687.27/10,609.23 = 4,705.09/x
  3. Step 3: Cross multiply
    7,687.27x = 10,609.23 × 4,705.09
  4. Step 4: Simplify right side
    7,687.27x = 49,917,346.64
  5. Step 5: Solve for x
    x = 49,917,346.64/7,687.27
  6. Step 6: Final answer
    x = 6,493.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.