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Finding the Fourth Proportional to 7,269.68, 10,908.84 and 3,982.16

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Solution

The fourth proportional to 7,269.68, 10,908.84 and 3,982.16 is: 5,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.68 : 10,908.84 = 3,982.16 : x
  2. Step 2: Convert to fraction form
    7,269.68/10,908.84 = 3,982.16/x
  3. Step 3: Cross multiply
    7,269.68x = 10,908.84 × 3,982.16
  4. Step 4: Simplify right side
    7,269.68x = 43,440,746.29
  5. Step 5: Solve for x
    x = 43,440,746.29/7,269.68
  6. Step 6: Final answer
    x = 5,975.61

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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.