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Finding the Fourth Proportional to 7,548.40, 11,262.02 and 6,716.80

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Solution

The fourth proportional to 7,548.40, 11,262.02 and 6,716.80 is: 10,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.40 : 11,262.02 = 6,716.80 : x
  2. Step 2: Convert to fraction form
    7,548.40/11,262.02 = 6,716.80/x
  3. Step 3: Cross multiply
    7,548.40x = 11,262.02 × 6,716.80
  4. Step 4: Simplify right side
    7,548.40x = 75,644,735.94
  5. Step 5: Solve for x
    x = 75,644,735.94/7,548.40
  6. Step 6: Final answer
    x = 10,021.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.