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Finding the Fourth Proportional to 6,715.68, 10,074.92 and 2,035.96

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Solution

The fourth proportional to 6,715.68, 10,074.92 and 2,035.96 is: 3,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.68 : 10,074.92 = 2,035.96 : x
  2. Step 2: Convert to fraction form
    6,715.68/10,074.92 = 2,035.96/x
  3. Step 3: Cross multiply
    6,715.68x = 10,074.92 × 2,035.96
  4. Step 4: Simplify right side
    6,715.68x = 20,512,134.12
  5. Step 5: Solve for x
    x = 20,512,134.12/6,715.68
  6. Step 6: Final answer
    x = 3,054.36

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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.