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Finding the Fourth Proportional to 7,096.09, 10,642.92 and 1,900.75

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Solution

The fourth proportional to 7,096.09, 10,642.92 and 1,900.75 is: 2,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.09 : 10,642.92 = 1,900.75 : x
  2. Step 2: Convert to fraction form
    7,096.09/10,642.92 = 1,900.75/x
  3. Step 3: Cross multiply
    7,096.09x = 10,642.92 × 1,900.75
  4. Step 4: Simplify right side
    7,096.09x = 20,229,530.19
  5. Step 5: Solve for x
    x = 20,229,530.19/7,096.09
  6. Step 6: Final answer
    x = 2,850.80

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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.