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Finding the Fourth Proportional to 11,668.82, 16,102.56 and 6,633.25

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Solution

The fourth proportional to 11,668.82, 16,102.56 and 6,633.25 is: 9,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.82 : 16,102.56 = 6,633.25 : x
  2. Step 2: Convert to fraction form
    11,668.82/16,102.56 = 6,633.25/x
  3. Step 3: Cross multiply
    11,668.82x = 16,102.56 × 6,633.25
  4. Step 4: Simplify right side
    11,668.82x = 106,812,290.74
  5. Step 5: Solve for x
    x = 106,812,290.74/11,668.82
  6. Step 6: Final answer
    x = 9,153.65

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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.