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Finding the Fourth Proportional to 10,765.72, 16,149.48 and 4,100.50

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Solution

The fourth proportional to 10,765.72, 16,149.48 and 4,100.50 is: 6,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.72 : 16,149.48 = 4,100.50 : x
  2. Step 2: Convert to fraction form
    10,765.72/16,149.48 = 4,100.50/x
  3. Step 3: Cross multiply
    10,765.72x = 16,149.48 × 4,100.50
  4. Step 4: Simplify right side
    10,765.72x = 66,220,942.74
  5. Step 5: Solve for x
    x = 66,220,942.74/10,765.72
  6. Step 6: Final answer
    x = 6,151.09

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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.