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Finding the Fourth Proportional to 11,424.16, 17,138.82 and 4,029.16

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Solution

The fourth proportional to 11,424.16, 17,138.82 and 4,029.16 is: 6,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.16 : 17,138.82 = 4,029.16 : x
  2. Step 2: Convert to fraction form
    11,424.16/17,138.82 = 4,029.16/x
  3. Step 3: Cross multiply
    11,424.16x = 17,138.82 × 4,029.16
  4. Step 4: Simplify right side
    11,424.16x = 69,055,047.99
  5. Step 5: Solve for x
    x = 69,055,047.99/11,424.16
  6. Step 6: Final answer
    x = 6,044.65

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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.