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Finding the Fourth Proportional to 11,242.21, 15,514.16 and 6,206.42

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Solution

The fourth proportional to 11,242.21, 15,514.16 and 6,206.42 is: 8,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.21 : 15,514.16 = 6,206.42 : x
  2. Step 2: Convert to fraction form
    11,242.21/15,514.16 = 6,206.42/x
  3. Step 3: Cross multiply
    11,242.21x = 15,514.16 × 6,206.42
  4. Step 4: Simplify right side
    11,242.21x = 96,287,361.88
  5. Step 5: Solve for x
    x = 96,287,361.88/11,242.21
  6. Step 6: Final answer
    x = 8,564.81

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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.