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Finding the Fourth Proportional to 11,851.55, 17,764.56 and 6,299.30

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Solution

The fourth proportional to 11,851.55, 17,764.56 and 6,299.30 is: 9,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.55 : 17,764.56 = 6,299.30 : x
  2. Step 2: Convert to fraction form
    11,851.55/17,764.56 = 6,299.30/x
  3. Step 3: Cross multiply
    11,851.55x = 17,764.56 × 6,299.30
  4. Step 4: Simplify right side
    11,851.55x = 111,904,203.99
  5. Step 5: Solve for x
    x = 111,904,203.99/11,851.55
  6. Step 6: Final answer
    x = 9,442.16

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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.