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Finding the Fourth Proportional to 11,912.28, 16,431.12 and 7,656.64

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Solution

The fourth proportional to 11,912.28, 16,431.12 and 7,656.64 is: 10,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.28 : 16,431.12 = 7,656.64 : x
  2. Step 2: Convert to fraction form
    11,912.28/16,431.12 = 7,656.64/x
  3. Step 3: Cross multiply
    11,912.28x = 16,431.12 × 7,656.64
  4. Step 4: Simplify right side
    11,912.28x = 125,807,170.64
  5. Step 5: Solve for x
    x = 125,807,170.64/11,912.28
  6. Step 6: Final answer
    x = 10,561.13

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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.