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Finding the Fourth Proportional to 11,846.76, 17,786.52 and 6,007.44

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Solution

The fourth proportional to 11,846.76, 17,786.52 and 6,007.44 is: 9,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.76 : 17,786.52 = 6,007.44 : x
  2. Step 2: Convert to fraction form
    11,846.76/17,786.52 = 6,007.44/x
  3. Step 3: Cross multiply
    11,846.76x = 17,786.52 × 6,007.44
  4. Step 4: Simplify right side
    11,846.76x = 106,851,451.71
  5. Step 5: Solve for x
    x = 106,851,451.71/11,846.76
  6. Step 6: Final answer
    x = 9,019.47

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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.