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Finding the Fourth Proportional to 11,452.79, 17,164.91 and 5,211.14

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Solution

The fourth proportional to 11,452.79, 17,164.91 and 5,211.14 is: 7,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.79 : 17,164.91 = 5,211.14 : x
  2. Step 2: Convert to fraction form
    11,452.79/17,164.91 = 5,211.14/x
  3. Step 3: Cross multiply
    11,452.79x = 17,164.91 × 5,211.14
  4. Step 4: Simplify right side
    11,452.79x = 89,448,676.30
  5. Step 5: Solve for x
    x = 89,448,676.30/11,452.79
  6. Step 6: Final answer
    x = 7,810.21

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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.