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Finding the Fourth Proportional to 11,658.64, 17,485.26 and 3,338.44

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Solution

The fourth proportional to 11,658.64, 17,485.26 and 3,338.44 is: 5,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.64 : 17,485.26 = 3,338.44 : x
  2. Step 2: Convert to fraction form
    11,658.64/17,485.26 = 3,338.44/x
  3. Step 3: Cross multiply
    11,658.64x = 17,485.26 × 3,338.44
  4. Step 4: Simplify right side
    11,658.64x = 58,373,491.39
  5. Step 5: Solve for x
    x = 58,373,491.39/11,658.64
  6. Step 6: Final answer
    x = 5,006.89

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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.