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Finding the Fourth Proportional to 7,974.72, 11,905.11 and 7,919.64

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Solution

The fourth proportional to 7,974.72, 11,905.11 and 7,919.64 is: 11,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.72 : 11,905.11 = 7,919.64 : x
  2. Step 2: Convert to fraction form
    7,974.72/11,905.11 = 7,919.64/x
  3. Step 3: Cross multiply
    7,974.72x = 11,905.11 × 7,919.64
  4. Step 4: Simplify right side
    7,974.72x = 94,284,185.36
  5. Step 5: Solve for x
    x = 94,284,185.36/7,974.72
  6. Step 6: Final answer
    x = 11,822.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.