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Finding the Fourth Proportional to 10,785.32, 16,181.87 and 3,766.36

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Solution

The fourth proportional to 10,785.32, 16,181.87 and 3,766.36 is: 5,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.32 : 16,181.87 = 3,766.36 : x
  2. Step 2: Convert to fraction form
    10,785.32/16,181.87 = 3,766.36/x
  3. Step 3: Cross multiply
    10,785.32x = 16,181.87 × 3,766.36
  4. Step 4: Simplify right side
    10,785.32x = 60,946,747.89
  5. Step 5: Solve for x
    x = 60,946,747.89/10,785.32
  6. Step 6: Final answer
    x = 5,650.90

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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.