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Finding the Fourth Proportional to 10,911.50, 16,365.17 and 3,012.05

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Solution

The fourth proportional to 10,911.50, 16,365.17 and 3,012.05 is: 4,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.50 : 16,365.17 = 3,012.05 : x
  2. Step 2: Convert to fraction form
    10,911.50/16,365.17 = 3,012.05/x
  3. Step 3: Cross multiply
    10,911.50x = 16,365.17 × 3,012.05
  4. Step 4: Simplify right side
    10,911.50x = 49,292,613.41
  5. Step 5: Solve for x
    x = 49,292,613.41/10,911.50
  6. Step 6: Final answer
    x = 4,517.49

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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.