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Finding the Fourth Proportional to 11,147.42, 15,383.00 and 6,668.51

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Solution

The fourth proportional to 11,147.42, 15,383.00 and 6,668.51 is: 9,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.42 : 15,383.00 = 6,668.51 : x
  2. Step 2: Convert to fraction form
    11,147.42/15,383.00 = 6,668.51/x
  3. Step 3: Cross multiply
    11,147.42x = 15,383.00 × 6,668.51
  4. Step 4: Simplify right side
    11,147.42x = 102,581,629.09
  5. Step 5: Solve for x
    x = 102,581,629.09/11,147.42
  6. Step 6: Final answer
    x = 9,202.27

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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.