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Finding the Fourth Proportional to 11,592, 17,390.96 and 3,384

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Solution

The fourth proportional to 11,592, 17,390.96 and 3,384 is: 5,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592 : 17,390.96 = 3,384 : x
  2. Step 2: Convert to fraction form
    11,592/17,390.96 = 3,384/x
  3. Step 3: Cross multiply
    11,592x = 17,390.96 × 3,384
  4. Step 4: Simplify right side
    11,592x = 58,851,008.64
  5. Step 5: Solve for x
    x = 58,851,008.64/11,592
  6. Step 6: Final answer
    x = 5,076.86

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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.