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Finding the Fourth Proportional to 11,420.91, 17,129.30 and 3,099.78

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Solution

The fourth proportional to 11,420.91, 17,129.30 and 3,099.78 is: 4,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.91 : 17,129.30 = 3,099.78 : x
  2. Step 2: Convert to fraction form
    11,420.91/17,129.30 = 3,099.78/x
  3. Step 3: Cross multiply
    11,420.91x = 17,129.30 × 3,099.78
  4. Step 4: Simplify right side
    11,420.91x = 53,097,046.06
  5. Step 5: Solve for x
    x = 53,097,046.06/11,420.91
  6. Step 6: Final answer
    x = 4,649.11

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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.