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Finding the Fourth Proportional to 11,804.22, 17,694.18 and 5,233.50

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Solution

The fourth proportional to 11,804.22, 17,694.18 and 5,233.50 is: 7,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.22 : 17,694.18 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    11,804.22/17,694.18 = 5,233.50/x
  3. Step 3: Cross multiply
    11,804.22x = 17,694.18 × 5,233.50
  4. Step 4: Simplify right side
    11,804.22x = 92,602,491.03
  5. Step 5: Solve for x
    x = 92,602,491.03/11,804.22
  6. Step 6: Final answer
    x = 7,844.86

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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.