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Finding the Fourth Proportional to 10,843.95, 16,252.96 and 5,581.48

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Solution

The fourth proportional to 10,843.95, 16,252.96 and 5,581.48 is: 8,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.95 : 16,252.96 = 5,581.48 : x
  2. Step 2: Convert to fraction form
    10,843.95/16,252.96 = 5,581.48/x
  3. Step 3: Cross multiply
    10,843.95x = 16,252.96 × 5,581.48
  4. Step 4: Simplify right side
    10,843.95x = 90,715,571.18
  5. Step 5: Solve for x
    x = 90,715,571.18/10,843.95
  6. Step 6: Final answer
    x = 8,365.55

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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.