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Finding the Fourth Proportional to 7,344.73, 11,006.38 and 3,397.20

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Solution

The fourth proportional to 7,344.73, 11,006.38 and 3,397.20 is: 5,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.73 : 11,006.38 = 3,397.20 : x
  2. Step 2: Convert to fraction form
    7,344.73/11,006.38 = 3,397.20/x
  3. Step 3: Cross multiply
    7,344.73x = 11,006.38 × 3,397.20
  4. Step 4: Simplify right side
    7,344.73x = 37,390,874.14
  5. Step 5: Solve for x
    x = 37,390,874.14/7,344.73
  6. Step 6: Final answer
    x = 5,090.84

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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.