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Finding the Fourth Proportional to 7,617.29, 11,424.54 and 3,456.30

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Solution

The fourth proportional to 7,617.29, 11,424.54 and 3,456.30 is: 5,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.29 : 11,424.54 = 3,456.30 : x
  2. Step 2: Convert to fraction form
    7,617.29/11,424.54 = 3,456.30/x
  3. Step 3: Cross multiply
    7,617.29x = 11,424.54 × 3,456.30
  4. Step 4: Simplify right side
    7,617.29x = 39,486,631.12
  5. Step 5: Solve for x
    x = 39,486,631.12/7,617.29
  6. Step 6: Final answer
    x = 5,183.81

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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.