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Finding the Fourth Proportional to 11,740.57, 17,613.75 and 3,420.67

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Solution

The fourth proportional to 11,740.57, 17,613.75 and 3,420.67 is: 5,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.57 : 17,613.75 = 3,420.67 : x
  2. Step 2: Convert to fraction form
    11,740.57/17,613.75 = 3,420.67/x
  3. Step 3: Cross multiply
    11,740.57x = 17,613.75 × 3,420.67
  4. Step 4: Simplify right side
    11,740.57x = 60,250,826.21
  5. Step 5: Solve for x
    x = 60,250,826.21/11,740.57
  6. Step 6: Final answer
    x = 5,131.85

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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.