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Finding the Fourth Proportional to 11,753.64, 17,631.27 and 3,433.86

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Solution

The fourth proportional to 11,753.64, 17,631.27 and 3,433.86 is: 5,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.64 : 17,631.27 = 3,433.86 : x
  2. Step 2: Convert to fraction form
    11,753.64/17,631.27 = 3,433.86/x
  3. Step 3: Cross multiply
    11,753.64x = 17,631.27 × 3,433.86
  4. Step 4: Simplify right side
    11,753.64x = 60,543,312.80
  5. Step 5: Solve for x
    x = 60,543,312.80/11,753.64
  6. Step 6: Final answer
    x = 5,151.03

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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.