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Finding the Fourth Proportional to 10,675.69, 16,010.77 and 3,177.49

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Solution

The fourth proportional to 10,675.69, 16,010.77 and 3,177.49 is: 4,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.69 : 16,010.77 = 3,177.49 : x
  2. Step 2: Convert to fraction form
    10,675.69/16,010.77 = 3,177.49/x
  3. Step 3: Cross multiply
    10,675.69x = 16,010.77 × 3,177.49
  4. Step 4: Simplify right side
    10,675.69x = 50,874,071.50
  5. Step 5: Solve for x
    x = 50,874,071.50/10,675.69
  6. Step 6: Final answer
    x = 4,765.41

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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.