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Finding the Fourth Proportional to 11,424.47, 17,137.22 and 4,029

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Solution

The fourth proportional to 11,424.47, 17,137.22 and 4,029 is: 6,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.47 : 17,137.22 = 4,029 : x
  2. Step 2: Convert to fraction form
    11,424.47/17,137.22 = 4,029/x
  3. Step 3: Cross multiply
    11,424.47x = 17,137.22 × 4,029
  4. Step 4: Simplify right side
    11,424.47x = 69,045,839.24
  5. Step 5: Solve for x
    x = 69,045,839.24/11,424.47
  6. Step 6: Final answer
    x = 6,043.68

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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.