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Finding the Fourth Proportional to 7,144.56, 10,717.25 and 2,464.79

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Solution

The fourth proportional to 7,144.56, 10,717.25 and 2,464.79 is: 3,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.56 : 10,717.25 = 2,464.79 : x
  2. Step 2: Convert to fraction form
    7,144.56/10,717.25 = 2,464.79/x
  3. Step 3: Cross multiply
    7,144.56x = 10,717.25 × 2,464.79
  4. Step 4: Simplify right side
    7,144.56x = 26,415,704.72
  5. Step 5: Solve for x
    x = 26,415,704.72/7,144.56
  6. Step 6: Final answer
    x = 3,697.32

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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.