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Finding the Fourth Proportional to 8,144.69, 11,226.56 and 5,487.48

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Solution

The fourth proportional to 8,144.69, 11,226.56 and 5,487.48 is: 7,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.69 : 11,226.56 = 5,487.48 : x
  2. Step 2: Convert to fraction form
    8,144.69/11,226.56 = 5,487.48/x
  3. Step 3: Cross multiply
    8,144.69x = 11,226.56 × 5,487.48
  4. Step 4: Simplify right side
    8,144.69x = 61,605,496.03
  5. Step 5: Solve for x
    x = 61,605,496.03/8,144.69
  6. Step 6: Final answer
    x = 7,563.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.