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Finding the Fourth Proportional to 11,851.56, 17,764.56 and 6,299.31

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Solution

The fourth proportional to 11,851.56, 17,764.56 and 6,299.31 is: 9,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.56 : 17,764.56 = 6,299.31 : x
  2. Step 2: Convert to fraction form
    11,851.56/17,764.56 = 6,299.31/x
  3. Step 3: Cross multiply
    11,851.56x = 17,764.56 × 6,299.31
  4. Step 4: Simplify right side
    11,851.56x = 111,904,470.45
  5. Step 5: Solve for x
    x = 111,904,470.45/11,851.56
  6. Step 6: Final answer
    x = 9,442.17

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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.