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Finding the Fourth Proportional to 11,564.01, 17,344.19 and 3,771

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Solution

The fourth proportional to 11,564.01, 17,344.19 and 3,771 is: 5,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.01 : 17,344.19 = 3,771 : x
  2. Step 2: Convert to fraction form
    11,564.01/17,344.19 = 3,771/x
  3. Step 3: Cross multiply
    11,564.01x = 17,344.19 × 3,771
  4. Step 4: Simplify right side
    11,564.01x = 65,404,949.92
  5. Step 5: Solve for x
    x = 65,404,949.92/11,564.01
  6. Step 6: Final answer
    x = 5,655.91

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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.