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Finding the Fourth Proportional to 7,447.82, 11,171.73 and 1,901.17

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Solution

The fourth proportional to 7,447.82, 11,171.73 and 1,901.17 is: 2,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.82 : 11,171.73 = 1,901.17 : x
  2. Step 2: Convert to fraction form
    7,447.82/11,171.73 = 1,901.17/x
  3. Step 3: Cross multiply
    7,447.82x = 11,171.73 × 1,901.17
  4. Step 4: Simplify right side
    7,447.82x = 21,239,292.56
  5. Step 5: Solve for x
    x = 21,239,292.56/7,447.82
  6. Step 6: Final answer
    x = 2,851.75

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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.