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Finding the Fourth Proportional to 11,468.16, 17,199.81 and 6,721.47

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Solution

The fourth proportional to 11,468.16, 17,199.81 and 6,721.47 is: 10,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.16 : 17,199.81 = 6,721.47 : x
  2. Step 2: Convert to fraction form
    11,468.16/17,199.81 = 6,721.47/x
  3. Step 3: Cross multiply
    11,468.16x = 17,199.81 × 6,721.47
  4. Step 4: Simplify right side
    11,468.16x = 115,608,006.92
  5. Step 5: Solve for x
    x = 115,608,006.92/11,468.16
  6. Step 6: Final answer
    x = 10,080.78

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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.