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Finding the Fourth Proportional to 10,872.38, 15,003.43 and 6,335.49

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Solution

The fourth proportional to 10,872.38, 15,003.43 and 6,335.49 is: 8,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.38 : 15,003.43 = 6,335.49 : x
  2. Step 2: Convert to fraction form
    10,872.38/15,003.43 = 6,335.49/x
  3. Step 3: Cross multiply
    10,872.38x = 15,003.43 × 6,335.49
  4. Step 4: Simplify right side
    10,872.38x = 95,054,043.22
  5. Step 5: Solve for x
    x = 95,054,043.22/10,872.38
  6. Step 6: Final answer
    x = 8,742.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.