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Finding the Fourth Proportional to 11,553.94, 17,334.62 and 8,011.00

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Solution

The fourth proportional to 11,553.94, 17,334.62 and 8,011.00 is: 12,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.94 : 17,334.62 = 8,011.00 : x
  2. Step 2: Convert to fraction form
    11,553.94/17,334.62 = 8,011.00/x
  3. Step 3: Cross multiply
    11,553.94x = 17,334.62 × 8,011.00
  4. Step 4: Simplify right side
    11,553.94x = 138,867,514.09
  5. Step 5: Solve for x
    x = 138,867,514.09/11,553.94
  6. Step 6: Final answer
    x = 12,019.07

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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.