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Finding the Fourth Proportional to 11,442, 17,165.88 and 3,234

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Solution

The fourth proportional to 11,442, 17,165.88 and 3,234 is: 4,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442 : 17,165.88 = 3,234 : x
  2. Step 2: Convert to fraction form
    11,442/17,165.88 = 3,234/x
  3. Step 3: Cross multiply
    11,442x = 17,165.88 × 3,234
  4. Step 4: Simplify right side
    11,442x = 55,514,455.92
  5. Step 5: Solve for x
    x = 55,514,455.92/11,442
  6. Step 6: Final answer
    x = 4,851.81

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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.