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Finding the Fourth Proportional to 11,412.22, 17,101.59 and 5,174.14

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Solution

The fourth proportional to 11,412.22, 17,101.59 and 5,174.14 is: 7,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.22 : 17,101.59 = 5,174.14 : x
  2. Step 2: Convert to fraction form
    11,412.22/17,101.59 = 5,174.14/x
  3. Step 3: Cross multiply
    11,412.22x = 17,101.59 × 5,174.14
  4. Step 4: Simplify right side
    11,412.22x = 88,486,020.88
  5. Step 5: Solve for x
    x = 88,486,020.88/11,412.22
  6. Step 6: Final answer
    x = 7,753.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.