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Finding the Fourth Proportional to 10,751.84, 16,125.04 and 3,826.36

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Solution

The fourth proportional to 10,751.84, 16,125.04 and 3,826.36 is: 5,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.84 : 16,125.04 = 3,826.36 : x
  2. Step 2: Convert to fraction form
    10,751.84/16,125.04 = 3,826.36/x
  3. Step 3: Cross multiply
    10,751.84x = 16,125.04 × 3,826.36
  4. Step 4: Simplify right side
    10,751.84x = 61,700,208.05
  5. Step 5: Solve for x
    x = 61,700,208.05/10,751.84
  6. Step 6: Final answer
    x = 5,738.57

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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.