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Finding the Fourth Proportional to 11,785.26, 16,263.75 and 6,479.95

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Solution

The fourth proportional to 11,785.26, 16,263.75 and 6,479.95 is: 8,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.26 : 16,263.75 = 6,479.95 : x
  2. Step 2: Convert to fraction form
    11,785.26/16,263.75 = 6,479.95/x
  3. Step 3: Cross multiply
    11,785.26x = 16,263.75 × 6,479.95
  4. Step 4: Simplify right side
    11,785.26x = 105,388,286.81
  5. Step 5: Solve for x
    x = 105,388,286.81/11,785.26
  6. Step 6: Final answer
    x = 8,942.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.