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Finding the Fourth Proportional to 11,704.65, 17,556.98 and 5,859.15

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Solution

The fourth proportional to 11,704.65, 17,556.98 and 5,859.15 is: 8,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.65 : 17,556.98 = 5,859.15 : x
  2. Step 2: Convert to fraction form
    11,704.65/17,556.98 = 5,859.15/x
  3. Step 3: Cross multiply
    11,704.65x = 17,556.98 × 5,859.15
  4. Step 4: Simplify right side
    11,704.65x = 102,868,950.07
  5. Step 5: Solve for x
    x = 102,868,950.07/11,704.65
  6. Step 6: Final answer
    x = 8,788.73

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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.