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Finding the Fourth Proportional to 11,776.74, 17,663.22 and 3,011.19

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Solution

The fourth proportional to 11,776.74, 17,663.22 and 3,011.19 is: 4,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.74 : 17,663.22 = 3,011.19 : x
  2. Step 2: Convert to fraction form
    11,776.74/17,663.22 = 3,011.19/x
  3. Step 3: Cross multiply
    11,776.74x = 17,663.22 × 3,011.19
  4. Step 4: Simplify right side
    11,776.74x = 53,187,311.43
  5. Step 5: Solve for x
    x = 53,187,311.43/11,776.74
  6. Step 6: Final answer
    x = 4,516.30

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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.