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Finding the Fourth Proportional to 10,754.91, 16,132.32 and 4,185.68

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Solution

The fourth proportional to 10,754.91, 16,132.32 and 4,185.68 is: 6,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.91 : 16,132.32 = 4,185.68 : x
  2. Step 2: Convert to fraction form
    10,754.91/16,132.32 = 4,185.68/x
  3. Step 3: Cross multiply
    10,754.91x = 16,132.32 × 4,185.68
  4. Step 4: Simplify right side
    10,754.91x = 67,524,648.52
  5. Step 5: Solve for x
    x = 67,524,648.52/10,754.91
  6. Step 6: Final answer
    x = 6,278.49

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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.