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Finding the Fourth Proportional to 11,958.96, 17,938.45 and 5,717.50

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Solution

The fourth proportional to 11,958.96, 17,938.45 and 5,717.50 is: 8,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.96 : 17,938.45 = 5,717.50 : x
  2. Step 2: Convert to fraction form
    11,958.96/17,938.45 = 5,717.50/x
  3. Step 3: Cross multiply
    11,958.96x = 17,938.45 × 5,717.50
  4. Step 4: Simplify right side
    11,958.96x = 102,563,087.88
  5. Step 5: Solve for x
    x = 102,563,087.88/11,958.96
  6. Step 6: Final answer
    x = 8,576.25

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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.