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Finding the Fourth Proportional to 11,654.28, 16,080.12 and 6,940.08

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Solution

The fourth proportional to 11,654.28, 16,080.12 and 6,940.08 is: 9,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.28 : 16,080.12 = 6,940.08 : x
  2. Step 2: Convert to fraction form
    11,654.28/16,080.12 = 6,940.08/x
  3. Step 3: Cross multiply
    11,654.28x = 16,080.12 × 6,940.08
  4. Step 4: Simplify right side
    11,654.28x = 111,597,319.21
  5. Step 5: Solve for x
    x = 111,597,319.21/11,654.28
  6. Step 6: Final answer
    x = 9,575.65

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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.