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Finding the Fourth Proportional to 11,617.44, 17,431.02 and 5,049.15

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Solution

The fourth proportional to 11,617.44, 17,431.02 and 5,049.15 is: 7,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.44 : 17,431.02 = 5,049.15 : x
  2. Step 2: Convert to fraction form
    11,617.44/17,431.02 = 5,049.15/x
  3. Step 3: Cross multiply
    11,617.44x = 17,431.02 × 5,049.15
  4. Step 4: Simplify right side
    11,617.44x = 88,011,834.63
  5. Step 5: Solve for x
    x = 88,011,834.63/11,617.44
  6. Step 6: Final answer
    x = 7,575.84

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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.