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Finding the Fourth Proportional to 11,240.28, 16,851 and 6,242.38

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Solution

The fourth proportional to 11,240.28, 16,851 and 6,242.38 is: 9,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240.28 : 16,851 = 6,242.38 : x
  2. Step 2: Convert to fraction form
    11,240.28/16,851 = 6,242.38/x
  3. Step 3: Cross multiply
    11,240.28x = 16,851 × 6,242.38
  4. Step 4: Simplify right side
    11,240.28x = 105,190,345.38
  5. Step 5: Solve for x
    x = 105,190,345.38/11,240.28
  6. Step 6: Final answer
    x = 9,358.34

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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.