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Finding the Fourth Proportional to 11,743.38, 16,203.24 and 7,029.18

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Solution

The fourth proportional to 11,743.38, 16,203.24 and 7,029.18 is: 9,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.38 : 16,203.24 = 7,029.18 : x
  2. Step 2: Convert to fraction form
    11,743.38/16,203.24 = 7,029.18/x
  3. Step 3: Cross multiply
    11,743.38x = 16,203.24 × 7,029.18
  4. Step 4: Simplify right side
    11,743.38x = 113,895,490.54
  5. Step 5: Solve for x
    x = 113,895,490.54/11,743.38
  6. Step 6: Final answer
    x = 9,698.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.