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Finding the Fourth Proportional to 7,218.56, 10,832.16 and 3,114.56

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Solution

The fourth proportional to 7,218.56, 10,832.16 and 3,114.56 is: 4,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.56 : 10,832.16 = 3,114.56 : x
  2. Step 2: Convert to fraction form
    7,218.56/10,832.16 = 3,114.56/x
  3. Step 3: Cross multiply
    7,218.56x = 10,832.16 × 3,114.56
  4. Step 4: Simplify right side
    7,218.56x = 33,737,451.01
  5. Step 5: Solve for x
    x = 33,737,451.01/7,218.56
  6. Step 6: Final answer
    x = 4,673.71

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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.