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Finding the Fourth Proportional to 11,857.66, 16,376.77 and 9,201.00

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Solution

The fourth proportional to 11,857.66, 16,376.77 and 9,201.00 is: 12,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.66 : 16,376.77 = 9,201.00 : x
  2. Step 2: Convert to fraction form
    11,857.66/16,376.77 = 9,201.00/x
  3. Step 3: Cross multiply
    11,857.66x = 16,376.77 × 9,201.00
  4. Step 4: Simplify right side
    11,857.66x = 150,682,578.89
  5. Step 5: Solve for x
    x = 150,682,578.89/11,857.66
  6. Step 6: Final answer
    x = 12,707.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.