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Finding the Fourth Proportional to 11,769.14, 17,653.62 and 3,004.76

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Solution

The fourth proportional to 11,769.14, 17,653.62 and 3,004.76 is: 4,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.14 : 17,653.62 = 3,004.76 : x
  2. Step 2: Convert to fraction form
    11,769.14/17,653.62 = 3,004.76/x
  3. Step 3: Cross multiply
    11,769.14x = 17,653.62 × 3,004.76
  4. Step 4: Simplify right side
    11,769.14x = 53,044,891.23
  5. Step 5: Solve for x
    x = 53,044,891.23/11,769.14
  6. Step 6: Final answer
    x = 4,507.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.