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Finding the Fourth Proportional to 11,785.59, 17,684.46 and 6,519.65

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Solution

The fourth proportional to 11,785.59, 17,684.46 and 6,519.65 is: 9,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.59 : 17,684.46 = 6,519.65 : x
  2. Step 2: Convert to fraction form
    11,785.59/17,684.46 = 6,519.65/x
  3. Step 3: Cross multiply
    11,785.59x = 17,684.46 × 6,519.65
  4. Step 4: Simplify right side
    11,785.59x = 115,296,401.22
  5. Step 5: Solve for x
    x = 115,296,401.22/11,785.59
  6. Step 6: Final answer
    x = 9,782.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.