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Finding the Fourth Proportional to 11,251.98, 16,880.22 and 3,460.50

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Solution

The fourth proportional to 11,251.98, 16,880.22 and 3,460.50 is: 5,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.98 : 16,880.22 = 3,460.50 : x
  2. Step 2: Convert to fraction form
    11,251.98/16,880.22 = 3,460.50/x
  3. Step 3: Cross multiply
    11,251.98x = 16,880.22 × 3,460.50
  4. Step 4: Simplify right side
    11,251.98x = 58,414,001.31
  5. Step 5: Solve for x
    x = 58,414,001.31/11,251.98
  6. Step 6: Final answer
    x = 5,191.44

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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.