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Finding the Fourth Proportional to 11,742.87, 17,609.85 and 3,420.12

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Solution

The fourth proportional to 11,742.87, 17,609.85 and 3,420.12 is: 5,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.87 : 17,609.85 = 3,420.12 : x
  2. Step 2: Convert to fraction form
    11,742.87/17,609.85 = 3,420.12/x
  3. Step 3: Cross multiply
    11,742.87x = 17,609.85 × 3,420.12
  4. Step 4: Simplify right side
    11,742.87x = 60,227,800.18
  5. Step 5: Solve for x
    x = 60,227,800.18/11,742.87
  6. Step 6: Final answer
    x = 5,128.88

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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.