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Finding the Fourth Proportional to 7,744.61, 11,617.37 and 2,197.52

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Solution

The fourth proportional to 7,744.61, 11,617.37 and 2,197.52 is: 3,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.61 : 11,617.37 = 2,197.52 : x
  2. Step 2: Convert to fraction form
    7,744.61/11,617.37 = 2,197.52/x
  3. Step 3: Cross multiply
    7,744.61x = 11,617.37 × 2,197.52
  4. Step 4: Simplify right side
    7,744.61x = 25,529,420.98
  5. Step 5: Solve for x
    x = 25,529,420.98/7,744.61
  6. Step 6: Final answer
    x = 3,296.41

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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.