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Finding the Fourth Proportional to 11,929.69, 17,893.17 and 3,165.29

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Solution

The fourth proportional to 11,929.69, 17,893.17 and 3,165.29 is: 4,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.69 : 17,893.17 = 3,165.29 : x
  2. Step 2: Convert to fraction form
    11,929.69/17,893.17 = 3,165.29/x
  3. Step 3: Cross multiply
    11,929.69x = 17,893.17 × 3,165.29
  4. Step 4: Simplify right side
    11,929.69x = 56,637,049.70
  5. Step 5: Solve for x
    x = 56,637,049.70/11,929.69
  6. Step 6: Final answer
    x = 4,747.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.