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Finding the Fourth Proportional to 11,311.50, 16,967.28 and 3,520.32

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Solution

The fourth proportional to 11,311.50, 16,967.28 and 3,520.32 is: 5,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.50 : 16,967.28 = 3,520.32 : x
  2. Step 2: Convert to fraction form
    11,311.50/16,967.28 = 3,520.32/x
  3. Step 3: Cross multiply
    11,311.50x = 16,967.28 × 3,520.32
  4. Step 4: Simplify right side
    11,311.50x = 59,730,255.13
  5. Step 5: Solve for x
    x = 59,730,255.13/11,311.50
  6. Step 6: Final answer
    x = 5,280.49

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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.