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Finding the Fourth Proportional to 11,523.62, 17,289.02 and 4,128.14

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Solution

The fourth proportional to 11,523.62, 17,289.02 and 4,128.14 is: 6,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.62 : 17,289.02 = 4,128.14 : x
  2. Step 2: Convert to fraction form
    11,523.62/17,289.02 = 4,128.14/x
  3. Step 3: Cross multiply
    11,523.62x = 17,289.02 × 4,128.14
  4. Step 4: Simplify right side
    11,523.62x = 71,371,431.16
  5. Step 5: Solve for x
    x = 71,371,431.16/11,523.62
  6. Step 6: Final answer
    x = 6,193.49

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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.