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Finding the Fourth Proportional to 7,207.68, 10,802.10 and 3,694.71

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Solution

The fourth proportional to 7,207.68, 10,802.10 and 3,694.71 is: 5,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.68 : 10,802.10 = 3,694.71 : x
  2. Step 2: Convert to fraction form
    7,207.68/10,802.10 = 3,694.71/x
  3. Step 3: Cross multiply
    7,207.68x = 10,802.10 × 3,694.71
  4. Step 4: Simplify right side
    7,207.68x = 39,910,626.89
  5. Step 5: Solve for x
    x = 39,910,626.89/7,207.68
  6. Step 6: Final answer
    x = 5,537.24

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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.