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Finding the Fourth Proportional to 11,242.38, 15,514.48 and 6,274.38

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Solution

The fourth proportional to 11,242.38, 15,514.48 and 6,274.38 is: 8,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.38 : 15,514.48 = 6,274.38 : x
  2. Step 2: Convert to fraction form
    11,242.38/15,514.48 = 6,274.38/x
  3. Step 3: Cross multiply
    11,242.38x = 15,514.48 × 6,274.38
  4. Step 4: Simplify right side
    11,242.38x = 97,343,743.02
  5. Step 5: Solve for x
    x = 97,343,743.02/11,242.38
  6. Step 6: Final answer
    x = 8,658.64

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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.