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Finding the Fourth Proportional to 11,668.54, 16,102.90 and 7,131.96

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Solution

The fourth proportional to 11,668.54, 16,102.90 and 7,131.96 is: 9,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.54 : 16,102.90 = 7,131.96 : x
  2. Step 2: Convert to fraction form
    11,668.54/16,102.90 = 7,131.96/x
  3. Step 3: Cross multiply
    11,668.54x = 16,102.90 × 7,131.96
  4. Step 4: Simplify right side
    11,668.54x = 114,845,238.68
  5. Step 5: Solve for x
    x = 114,845,238.68/11,668.54
  6. Step 6: Final answer
    x = 9,842.30

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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.