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Finding the Fourth Proportional to 6,942.88, 10,405.50 and 4,998.88

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Solution

The fourth proportional to 6,942.88, 10,405.50 and 4,998.88 is: 7,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.88 : 10,405.50 = 4,998.88 : x
  2. Step 2: Convert to fraction form
    6,942.88/10,405.50 = 4,998.88/x
  3. Step 3: Cross multiply
    6,942.88x = 10,405.50 × 4,998.88
  4. Step 4: Simplify right side
    6,942.88x = 52,015,845.84
  5. Step 5: Solve for x
    x = 52,015,845.84/6,942.88
  6. Step 6: Final answer
    x = 7,491.97

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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.