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Finding the Fourth Proportional to 7,494.31, 11,231.43 and 3,546.61

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Solution

The fourth proportional to 7,494.31, 11,231.43 and 3,546.61 is: 5,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.31 : 11,231.43 = 3,546.61 : x
  2. Step 2: Convert to fraction form
    7,494.31/11,231.43 = 3,546.61/x
  3. Step 3: Cross multiply
    7,494.31x = 11,231.43 × 3,546.61
  4. Step 4: Simplify right side
    7,494.31x = 39,833,501.95
  5. Step 5: Solve for x
    x = 39,833,501.95/7,494.31
  6. Step 6: Final answer
    x = 5,315.17

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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.