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Finding the Fourth Proportional to 10,755, 16,133.11 and 3,829.50

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Solution

The fourth proportional to 10,755, 16,133.11 and 3,829.50 is: 5,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755 : 16,133.11 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    10,755/16,133.11 = 3,829.50/x
  3. Step 3: Cross multiply
    10,755x = 16,133.11 × 3,829.50
  4. Step 4: Simplify right side
    10,755x = 61,781,735.17
  5. Step 5: Solve for x
    x = 61,781,735.17/10,755
  6. Step 6: Final answer
    x = 5,744.47

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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.