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Finding the Fourth Proportional to 11,475.50, 17,216.13 and 3,267.50

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Solution

The fourth proportional to 11,475.50, 17,216.13 and 3,267.50 is: 4,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.50 : 17,216.13 = 3,267.50 : x
  2. Step 2: Convert to fraction form
    11,475.50/17,216.13 = 3,267.50/x
  3. Step 3: Cross multiply
    11,475.50x = 17,216.13 × 3,267.50
  4. Step 4: Simplify right side
    11,475.50x = 56,253,704.78
  5. Step 5: Solve for x
    x = 56,253,704.78/11,475.50
  6. Step 6: Final answer
    x = 4,902.07

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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.