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Finding the Fourth Proportional to 11,242.37, 15,514.07 and 6,206.49

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Solution

The fourth proportional to 11,242.37, 15,514.07 and 6,206.49 is: 8,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.37 : 15,514.07 = 6,206.49 : x
  2. Step 2: Convert to fraction form
    11,242.37/15,514.07 = 6,206.49/x
  3. Step 3: Cross multiply
    11,242.37x = 15,514.07 × 6,206.49
  4. Step 4: Simplify right side
    11,242.37x = 96,287,854.38
  5. Step 5: Solve for x
    x = 96,287,854.38/11,242.37
  6. Step 6: Final answer
    x = 8,564.73

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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.