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Finding the Fourth Proportional to 7,447.58, 11,171.37 and 3,061.97

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Solution

The fourth proportional to 7,447.58, 11,171.37 and 3,061.97 is: 4,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.58 : 11,171.37 = 3,061.97 : x
  2. Step 2: Convert to fraction form
    7,447.58/11,171.37 = 3,061.97/x
  3. Step 3: Cross multiply
    7,447.58x = 11,171.37 × 3,061.97
  4. Step 4: Simplify right side
    7,447.58x = 34,206,343.94
  5. Step 5: Solve for x
    x = 34,206,343.94/7,447.58
  6. Step 6: Final answer
    x = 4,592.95

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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.