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Finding the Fourth Proportional to 11,725.38, 16,181.02 and 6,420.20

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Solution

The fourth proportional to 11,725.38, 16,181.02 and 6,420.20 is: 8,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.38 : 16,181.02 = 6,420.20 : x
  2. Step 2: Convert to fraction form
    11,725.38/16,181.02 = 6,420.20/x
  3. Step 3: Cross multiply
    11,725.38x = 16,181.02 × 6,420.20
  4. Step 4: Simplify right side
    11,725.38x = 103,885,384.60
  5. Step 5: Solve for x
    x = 103,885,384.60/11,725.38
  6. Step 6: Final answer
    x = 8,859.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.