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Finding the Fourth Proportional to 10,755.92, 16,124.16 and 3,828.80

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Solution

The fourth proportional to 10,755.92, 16,124.16 and 3,828.80 is: 5,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.92 : 16,124.16 = 3,828.80 : x
  2. Step 2: Convert to fraction form
    10,755.92/16,124.16 = 3,828.80/x
  3. Step 3: Cross multiply
    10,755.92x = 16,124.16 × 3,828.80
  4. Step 4: Simplify right side
    10,755.92x = 61,736,238.48
  5. Step 5: Solve for x
    x = 61,736,238.48/10,755.92
  6. Step 6: Final answer
    x = 5,739.74

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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.