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Finding the Fourth Proportional to 10,672.83, 16,005.60 and 3,174.39

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Solution

The fourth proportional to 10,672.83, 16,005.60 and 3,174.39 is: 4,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.83 : 16,005.60 = 3,174.39 : x
  2. Step 2: Convert to fraction form
    10,672.83/16,005.60 = 3,174.39/x
  3. Step 3: Cross multiply
    10,672.83x = 16,005.60 × 3,174.39
  4. Step 4: Simplify right side
    10,672.83x = 50,808,016.58
  5. Step 5: Solve for x
    x = 50,808,016.58/10,672.83
  6. Step 6: Final answer
    x = 4,760.50

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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.