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Finding the Fourth Proportional to 11,242.62, 15,514.64 and 6,207.34

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Solution

The fourth proportional to 11,242.62, 15,514.64 and 6,207.34 is: 8,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.62 : 15,514.64 = 6,207.34 : x
  2. Step 2: Convert to fraction form
    11,242.62/15,514.64 = 6,207.34/x
  3. Step 3: Cross multiply
    11,242.62x = 15,514.64 × 6,207.34
  4. Step 4: Simplify right side
    11,242.62x = 96,304,645.46
  5. Step 5: Solve for x
    x = 96,304,645.46/11,242.62
  6. Step 6: Final answer
    x = 8,566.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.