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Finding the Fourth Proportional to 11,675.69, 16,101.21 and 7,855.93

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Solution

The fourth proportional to 11,675.69, 16,101.21 and 7,855.93 is: 10,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.69 : 16,101.21 = 7,855.93 : x
  2. Step 2: Convert to fraction form
    11,675.69/16,101.21 = 7,855.93/x
  3. Step 3: Cross multiply
    11,675.69x = 16,101.21 × 7,855.93
  4. Step 4: Simplify right side
    11,675.69x = 126,489,978.68
  5. Step 5: Solve for x
    x = 126,489,978.68/11,675.69
  6. Step 6: Final answer
    x = 10,833.62

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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.