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Finding the Fourth Proportional to 11,471.24, 17,209.50 and 3,263.24

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Solution

The fourth proportional to 11,471.24, 17,209.50 and 3,263.24 is: 4,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.24 : 17,209.50 = 3,263.24 : x
  2. Step 2: Convert to fraction form
    11,471.24/17,209.50 = 3,263.24/x
  3. Step 3: Cross multiply
    11,471.24x = 17,209.50 × 3,263.24
  4. Step 4: Simplify right side
    11,471.24x = 56,158,728.78
  5. Step 5: Solve for x
    x = 56,158,728.78/11,471.24
  6. Step 6: Final answer
    x = 4,895.61

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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.