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Finding the Fourth Proportional to 11,654.20, 16,080.24 and 7,621.96

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Solution

The fourth proportional to 11,654.20, 16,080.24 and 7,621.96 is: 10,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.20 : 16,080.24 = 7,621.96 : x
  2. Step 2: Convert to fraction form
    11,654.20/16,080.24 = 7,621.96/x
  3. Step 3: Cross multiply
    11,654.20x = 16,080.24 × 7,621.96
  4. Step 4: Simplify right side
    11,654.20x = 122,562,946.07
  5. Step 5: Solve for x
    x = 122,562,946.07/11,654.20
  6. Step 6: Final answer
    x = 10,516.63

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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.