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Finding the Fourth Proportional to 7,336.64, 11,004.96 and 2,142.56

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Solution

The fourth proportional to 7,336.64, 11,004.96 and 2,142.56 is: 3,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336.64 : 11,004.96 = 2,142.56 : x
  2. Step 2: Convert to fraction form
    7,336.64/11,004.96 = 2,142.56/x
  3. Step 3: Cross multiply
    7,336.64x = 11,004.96 × 2,142.56
  4. Step 4: Simplify right side
    7,336.64x = 23,578,787.10
  5. Step 5: Solve for x
    x = 23,578,787.10/7,336.64
  6. Step 6: Final answer
    x = 3,213.84

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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.