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Finding the Fourth Proportional to 6,711.82, 10,071.03 and 3,016.73

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Solution

The fourth proportional to 6,711.82, 10,071.03 and 3,016.73 is: 4,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.82 : 10,071.03 = 3,016.73 : x
  2. Step 2: Convert to fraction form
    6,711.82/10,071.03 = 3,016.73/x
  3. Step 3: Cross multiply
    6,711.82x = 10,071.03 × 3,016.73
  4. Step 4: Simplify right side
    6,711.82x = 30,381,614.82
  5. Step 5: Solve for x
    x = 30,381,614.82/6,711.82
  6. Step 6: Final answer
    x = 4,526.59

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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.