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Finding the Fourth Proportional to 10,765.50, 16,148.11 and 3,745.38

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Solution

The fourth proportional to 10,765.50, 16,148.11 and 3,745.38 is: 5,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.50 : 16,148.11 = 3,745.38 : x
  2. Step 2: Convert to fraction form
    10,765.50/16,148.11 = 3,745.38/x
  3. Step 3: Cross multiply
    10,765.50x = 16,148.11 × 3,745.38
  4. Step 4: Simplify right side
    10,765.50x = 60,480,808.23
  5. Step 5: Solve for x
    x = 60,480,808.23/10,765.50
  6. Step 6: Final answer
    x = 5,618.02

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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.