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Finding the Fourth Proportional to 7,163.92, 10,742.04 and 3,264.88

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Solution

The fourth proportional to 7,163.92, 10,742.04 and 3,264.88 is: 4,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.92 : 10,742.04 = 3,264.88 : x
  2. Step 2: Convert to fraction form
    7,163.92/10,742.04 = 3,264.88/x
  3. Step 3: Cross multiply
    7,163.92x = 10,742.04 × 3,264.88
  4. Step 4: Simplify right side
    7,163.92x = 35,071,471.56
  5. Step 5: Solve for x
    x = 35,071,471.56/7,163.92
  6. Step 6: Final answer
    x = 4,895.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.