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Finding the Fourth Proportional to 11,494.29, 17,229.15 and 7,544.06

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Solution

The fourth proportional to 11,494.29, 17,229.15 and 7,544.06 is: 11,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.29 : 17,229.15 = 7,544.06 : x
  2. Step 2: Convert to fraction form
    11,494.29/17,229.15 = 7,544.06/x
  3. Step 3: Cross multiply
    11,494.29x = 17,229.15 × 7,544.06
  4. Step 4: Simplify right side
    11,494.29x = 129,977,655.20
  5. Step 5: Solve for x
    x = 129,977,655.20/11,494.29
  6. Step 6: Final answer
    x = 11,308.02

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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.