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Finding the Fourth Proportional to 11,203.76, 16,816.04 and 5,661

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Solution

The fourth proportional to 11,203.76, 16,816.04 and 5,661 is: 8,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.76 : 16,816.04 = 5,661 : x
  2. Step 2: Convert to fraction form
    11,203.76/16,816.04 = 5,661/x
  3. Step 3: Cross multiply
    11,203.76x = 16,816.04 × 5,661
  4. Step 4: Simplify right side
    11,203.76x = 95,195,602.44
  5. Step 5: Solve for x
    x = 95,195,602.44/11,203.76
  6. Step 6: Final answer
    x = 8,496.75

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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.