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Finding the Fourth Proportional to 11,161.65, 16,733.84 and 6,474.45

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Solution

The fourth proportional to 11,161.65, 16,733.84 and 6,474.45 is: 9,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.65 : 16,733.84 = 6,474.45 : x
  2. Step 2: Convert to fraction form
    11,161.65/16,733.84 = 6,474.45/x
  3. Step 3: Cross multiply
    11,161.65x = 16,733.84 × 6,474.45
  4. Step 4: Simplify right side
    11,161.65x = 108,342,378.02
  5. Step 5: Solve for x
    x = 108,342,378.02/11,161.65
  6. Step 6: Final answer
    x = 9,706.66

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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.