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Finding the Fourth Proportional to 11,474.86, 17,211.93 and 3,266.86

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Solution

The fourth proportional to 11,474.86, 17,211.93 and 3,266.86 is: 4,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.86 : 17,211.93 = 3,266.86 : x
  2. Step 2: Convert to fraction form
    11,474.86/17,211.93 = 3,266.86/x
  3. Step 3: Cross multiply
    11,474.86x = 17,211.93 × 3,266.86
  4. Step 4: Simplify right side
    11,474.86x = 56,228,965.64
  5. Step 5: Solve for x
    x = 56,228,965.64/11,474.86
  6. Step 6: Final answer
    x = 4,900.19

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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.