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Finding the Fourth Proportional to 11,866.63, 17,799.72 and 3,546.67

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Solution

The fourth proportional to 11,866.63, 17,799.72 and 3,546.67 is: 5,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.63 : 17,799.72 = 3,546.67 : x
  2. Step 2: Convert to fraction form
    11,866.63/17,799.72 = 3,546.67/x
  3. Step 3: Cross multiply
    11,866.63x = 17,799.72 × 3,546.67
  4. Step 4: Simplify right side
    11,866.63x = 63,129,732.93
  5. Step 5: Solve for x
    x = 63,129,732.93/11,866.63
  6. Step 6: Final answer
    x = 5,319.94

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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.