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Finding the Fourth Proportional to 11,905.27, 17,858.06 and 8,206.51

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Solution

The fourth proportional to 11,905.27, 17,858.06 and 8,206.51 is: 12,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.27 : 17,858.06 = 8,206.51 : x
  2. Step 2: Convert to fraction form
    11,905.27/17,858.06 = 8,206.51/x
  3. Step 3: Cross multiply
    11,905.27x = 17,858.06 × 8,206.51
  4. Step 4: Simplify right side
    11,905.27x = 146,552,347.97
  5. Step 5: Solve for x
    x = 146,552,347.97/11,905.27
  6. Step 6: Final answer
    x = 12,309.87

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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.