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Finding the Fourth Proportional to 11,805.30, 16,282.89 and 7,609.50

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Solution

The fourth proportional to 11,805.30, 16,282.89 and 7,609.50 is: 10,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.30 : 16,282.89 = 7,609.50 : x
  2. Step 2: Convert to fraction form
    11,805.30/16,282.89 = 7,609.50/x
  3. Step 3: Cross multiply
    11,805.30x = 16,282.89 × 7,609.50
  4. Step 4: Simplify right side
    11,805.30x = 123,904,651.46
  5. Step 5: Solve for x
    x = 123,904,651.46/11,805.30
  6. Step 6: Final answer
    x = 10,495.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.