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Finding the Fourth Proportional to 7,614.96, 11,424.24 and 2,420.82

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Solution

The fourth proportional to 7,614.96, 11,424.24 and 2,420.82 is: 3,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.96 : 11,424.24 = 2,420.82 : x
  2. Step 2: Convert to fraction form
    7,614.96/11,424.24 = 2,420.82/x
  3. Step 3: Cross multiply
    7,614.96x = 11,424.24 × 2,420.82
  4. Step 4: Simplify right side
    7,614.96x = 27,656,028.68
  5. Step 5: Solve for x
    x = 27,656,028.68/7,614.96
  6. Step 6: Final answer
    x = 3,631.80

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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.