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Finding the Fourth Proportional to 11,599.63, 17,399.37 and 2,834.47

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Solution

The fourth proportional to 11,599.63, 17,399.37 and 2,834.47 is: 4,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.63 : 17,399.37 = 2,834.47 : x
  2. Step 2: Convert to fraction form
    11,599.63/17,399.37 = 2,834.47/x
  3. Step 3: Cross multiply
    11,599.63x = 17,399.37 × 2,834.47
  4. Step 4: Simplify right side
    11,599.63x = 49,317,992.28
  5. Step 5: Solve for x
    x = 49,317,992.28/11,599.63
  6. Step 6: Final answer
    x = 4,251.69

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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.