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Finding the Fourth Proportional to 7,458.89, 11,188.36 and 1,912.26

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Solution

The fourth proportional to 7,458.89, 11,188.36 and 1,912.26 is: 2,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.89 : 11,188.36 = 1,912.26 : x
  2. Step 2: Convert to fraction form
    7,458.89/11,188.36 = 1,912.26/x
  3. Step 3: Cross multiply
    7,458.89x = 11,188.36 × 1,912.26
  4. Step 4: Simplify right side
    7,458.89x = 21,395,024.62
  5. Step 5: Solve for x
    x = 21,395,024.62/7,458.89
  6. Step 6: Final answer
    x = 2,868.39

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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.