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Finding the Fourth Proportional to 11,776.10, 17,663.74 and 3,011.09

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Solution

The fourth proportional to 11,776.10, 17,663.74 and 3,011.09 is: 4,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.10 : 17,663.74 = 3,011.09 : x
  2. Step 2: Convert to fraction form
    11,776.10/17,663.74 = 3,011.09/x
  3. Step 3: Cross multiply
    11,776.10x = 17,663.74 × 3,011.09
  4. Step 4: Simplify right side
    11,776.10x = 53,187,015.03
  5. Step 5: Solve for x
    x = 53,187,015.03/11,776.10
  6. Step 6: Final answer
    x = 4,516.52

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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.