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Finding the Fourth Proportional to 11,324.93, 16,987.39 and 7,428.43

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Solution

The fourth proportional to 11,324.93, 16,987.39 and 7,428.43 is: 11,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.93 : 16,987.39 = 7,428.43 : x
  2. Step 2: Convert to fraction form
    11,324.93/16,987.39 = 7,428.43/x
  3. Step 3: Cross multiply
    11,324.93x = 16,987.39 × 7,428.43
  4. Step 4: Simplify right side
    11,324.93x = 126,189,637.50
  5. Step 5: Solve for x
    x = 126,189,637.50/11,324.93
  6. Step 6: Final answer
    x = 11,142.64

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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.