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Finding the Fourth Proportional to 11,751.29, 17,604.17 and 7,310.71

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Solution

The fourth proportional to 11,751.29, 17,604.17 and 7,310.71 is: 10,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.29 : 17,604.17 = 7,310.71 : x
  2. Step 2: Convert to fraction form
    11,751.29/17,604.17 = 7,310.71/x
  3. Step 3: Cross multiply
    11,751.29x = 17,604.17 × 7,310.71
  4. Step 4: Simplify right side
    11,751.29x = 128,698,895.50
  5. Step 5: Solve for x
    x = 128,698,895.50/11,751.29
  6. Step 6: Final answer
    x = 10,951.89

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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.