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Finding the Fourth Proportional to 11,311.22, 16,964.22 and 4,292.04

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Solution

The fourth proportional to 11,311.22, 16,964.22 and 4,292.04 is: 6,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.22 : 16,964.22 = 4,292.04 : x
  2. Step 2: Convert to fraction form
    11,311.22/16,964.22 = 4,292.04/x
  3. Step 3: Cross multiply
    11,311.22x = 16,964.22 × 4,292.04
  4. Step 4: Simplify right side
    11,311.22x = 72,811,110.81
  5. Step 5: Solve for x
    x = 72,811,110.81/11,311.22
  6. Step 6: Final answer
    x = 6,437.07

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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.