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Finding the Fourth Proportional to 11,941.92, 17,920.08 and 4,156.20

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Solution

The fourth proportional to 11,941.92, 17,920.08 and 4,156.20 is: 6,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.92 : 17,920.08 = 4,156.20 : x
  2. Step 2: Convert to fraction form
    11,941.92/17,920.08 = 4,156.20/x
  3. Step 3: Cross multiply
    11,941.92x = 17,920.08 × 4,156.20
  4. Step 4: Simplify right side
    11,941.92x = 74,479,436.50
  5. Step 5: Solve for x
    x = 74,479,436.50/11,941.92
  6. Step 6: Final answer
    x = 6,236.81

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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.