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Finding the Fourth Proportional to 11,333.44, 16,999.32 and 3,542

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Solution

The fourth proportional to 11,333.44, 16,999.32 and 3,542 is: 5,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.44 : 16,999.32 = 3,542 : x
  2. Step 2: Convert to fraction form
    11,333.44/16,999.32 = 3,542/x
  3. Step 3: Cross multiply
    11,333.44x = 16,999.32 × 3,542
  4. Step 4: Simplify right side
    11,333.44x = 60,211,591.44
  5. Step 5: Solve for x
    x = 60,211,591.44/11,333.44
  6. Step 6: Final answer
    x = 5,312.74

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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.