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Finding the Fourth Proportional to 7,678.28, 11,517.24 and 3,979.28

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Solution

The fourth proportional to 7,678.28, 11,517.24 and 3,979.28 is: 5,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.28 : 11,517.24 = 3,979.28 : x
  2. Step 2: Convert to fraction form
    7,678.28/11,517.24 = 3,979.28/x
  3. Step 3: Cross multiply
    7,678.28x = 11,517.24 × 3,979.28
  4. Step 4: Simplify right side
    7,678.28x = 45,830,322.79
  5. Step 5: Solve for x
    x = 45,830,322.79/7,678.28
  6. Step 6: Final answer
    x = 5,968.83

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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.