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Finding the Fourth Proportional to 11,287.26, 16,941.87 and 6,913.26

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Solution

The fourth proportional to 11,287.26, 16,941.87 and 6,913.26 is: 10,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.26 : 16,941.87 = 6,913.26 : x
  2. Step 2: Convert to fraction form
    11,287.26/16,941.87 = 6,913.26/x
  3. Step 3: Cross multiply
    11,287.26x = 16,941.87 × 6,913.26
  4. Step 4: Simplify right side
    11,287.26x = 117,123,552.20
  5. Step 5: Solve for x
    x = 117,123,552.20/11,287.26
  6. Step 6: Final answer
    x = 10,376.62

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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.