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Finding the Fourth Proportional to 10,725.44, 16,093.92 and 4,568

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Solution

The fourth proportional to 10,725.44, 16,093.92 and 4,568 is: 6,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.44 : 16,093.92 = 4,568 : x
  2. Step 2: Convert to fraction form
    10,725.44/16,093.92 = 4,568/x
  3. Step 3: Cross multiply
    10,725.44x = 16,093.92 × 4,568
  4. Step 4: Simplify right side
    10,725.44x = 73,517,026.56
  5. Step 5: Solve for x
    x = 73,517,026.56/10,725.44
  6. Step 6: Final answer
    x = 6,854.45

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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.