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Finding the Fourth Proportional to 11,511.39, 17,266.68 and 3,720

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Solution

The fourth proportional to 11,511.39, 17,266.68 and 3,720 is: 5,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.39 : 17,266.68 = 3,720 : x
  2. Step 2: Convert to fraction form
    11,511.39/17,266.68 = 3,720/x
  3. Step 3: Cross multiply
    11,511.39x = 17,266.68 × 3,720
  4. Step 4: Simplify right side
    11,511.39x = 64,232,049.60
  5. Step 5: Solve for x
    x = 64,232,049.60/11,511.39
  6. Step 6: Final answer
    x = 5,579.87

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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.