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Finding the Fourth Proportional to 11,665.62, 17,494.83 and 3,343.40

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Solution

The fourth proportional to 11,665.62, 17,494.83 and 3,343.40 is: 5,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.62 : 17,494.83 = 3,343.40 : x
  2. Step 2: Convert to fraction form
    11,665.62/17,494.83 = 3,343.40/x
  3. Step 3: Cross multiply
    11,665.62x = 17,494.83 × 3,343.40
  4. Step 4: Simplify right side
    11,665.62x = 58,492,214.62
  5. Step 5: Solve for x
    x = 58,492,214.62/11,665.62
  6. Step 6: Final answer
    x = 5,014.07

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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.