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Finding the Fourth Proportional to 10,873.09, 16,218.25 and 9,876.49

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Solution

The fourth proportional to 10,873.09, 16,218.25 and 9,876.49 is: 14,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.09 : 16,218.25 = 9,876.49 : x
  2. Step 2: Convert to fraction form
    10,873.09/16,218.25 = 9,876.49/x
  3. Step 3: Cross multiply
    10,873.09x = 16,218.25 × 9,876.49
  4. Step 4: Simplify right side
    10,873.09x = 160,179,383.94
  5. Step 5: Solve for x
    x = 160,179,383.94/10,873.09
  6. Step 6: Final answer
    x = 14,731.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.