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Finding the Fourth Proportional to 11,144.64, 15,375.84 and 6,895.68

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Solution

The fourth proportional to 11,144.64, 15,375.84 and 6,895.68 is: 9,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.64 : 15,375.84 = 6,895.68 : x
  2. Step 2: Convert to fraction form
    11,144.64/15,375.84 = 6,895.68/x
  3. Step 3: Cross multiply
    11,144.64x = 15,375.84 × 6,895.68
  4. Step 4: Simplify right side
    11,144.64x = 106,026,872.37
  5. Step 5: Solve for x
    x = 106,026,872.37/11,144.64
  6. Step 6: Final answer
    x = 9,513.71

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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.