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Finding the Fourth Proportional to 11,740.68, 17,613.72 and 3,843.45

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Solution

The fourth proportional to 11,740.68, 17,613.72 and 3,843.45 is: 5,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.68 : 17,613.72 = 3,843.45 : x
  2. Step 2: Convert to fraction form
    11,740.68/17,613.72 = 3,843.45/x
  3. Step 3: Cross multiply
    11,740.68x = 17,613.72 × 3,843.45
  4. Step 4: Simplify right side
    11,740.68x = 67,697,452.13
  5. Step 5: Solve for x
    x = 67,697,452.13/11,740.68
  6. Step 6: Final answer
    x = 5,766.06

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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.