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Finding the Fourth Proportional to 11,633.69, 17,460.90 and 7,673.87

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Solution

The fourth proportional to 11,633.69, 17,460.90 and 7,673.87 is: 11,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.69 : 17,460.90 = 7,673.87 : x
  2. Step 2: Convert to fraction form
    11,633.69/17,460.90 = 7,673.87/x
  3. Step 3: Cross multiply
    11,633.69x = 17,460.90 × 7,673.87
  4. Step 4: Simplify right side
    11,633.69x = 133,992,720.34
  5. Step 5: Solve for x
    x = 133,992,720.34/11,633.69
  6. Step 6: Final answer
    x = 11,517.64

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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.