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Finding the Fourth Proportional to 7,447.51, 11,171.25 and 1,900.85

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Solution

The fourth proportional to 7,447.51, 11,171.25 and 1,900.85 is: 2,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.51 : 11,171.25 = 1,900.85 : x
  2. Step 2: Convert to fraction form
    7,447.51/11,171.25 = 1,900.85/x
  3. Step 3: Cross multiply
    7,447.51x = 11,171.25 × 1,900.85
  4. Step 4: Simplify right side
    7,447.51x = 21,234,870.56
  5. Step 5: Solve for x
    x = 21,234,870.56/7,447.51
  6. Step 6: Final answer
    x = 2,851.27

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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.