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Finding the Fourth Proportional to 11,753.85, 16,219.28 and 6,717.07

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Solution

The fourth proportional to 11,753.85, 16,219.28 and 6,717.07 is: 9,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.85 : 16,219.28 = 6,717.07 : x
  2. Step 2: Convert to fraction form
    11,753.85/16,219.28 = 6,717.07/x
  3. Step 3: Cross multiply
    11,753.85x = 16,219.28 × 6,717.07
  4. Step 4: Simplify right side
    11,753.85x = 108,946,039.11
  5. Step 5: Solve for x
    x = 108,946,039.11/11,753.85
  6. Step 6: Final answer
    x = 9,268.97

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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.