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Finding the Fourth Proportional to 7,183.68, 10,777.32 and 2,802.42

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Solution

The fourth proportional to 7,183.68, 10,777.32 and 2,802.42 is: 4,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.68 : 10,777.32 = 2,802.42 : x
  2. Step 2: Convert to fraction form
    7,183.68/10,777.32 = 2,802.42/x
  3. Step 3: Cross multiply
    7,183.68x = 10,777.32 × 2,802.42
  4. Step 4: Simplify right side
    7,183.68x = 30,202,577.11
  5. Step 5: Solve for x
    x = 30,202,577.11/7,183.68
  6. Step 6: Final answer
    x = 4,204.33

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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.